Question

I'm stuck on these questions (these aren't even all of them)...

Answer 1

Solution(s):

Question-1:

• 5x - 7(2x - 22) = 287
• => 5x - 14x + 154 = 287
• => -9x + 154 = 287
• => -9x = 287 - 154
• => -9x = 133
• => x = 133/-9 = -133/9

Question-2:

• 20x + 136 = 28x - 440
• => 440 + 136 = 28x - 20x
• => 576 = 8x
• => x = 576/8 = 72

Question-3:

• 7x + 7(2x - 8) = 175
• => 7x + 14x - 56 = 175
• => 7x + 14x = 175 + 56
• => 21x = 231
• => x = 231/21 = 11

Question-4:

• 123 = 4x - 5(3x - 21)
• => 123 = 4x - 15x + 105
• => 123 = -11x + 105
• => 123 - 105 = -11x
• => 18 = -11x
• => x = -18/11

Question-5:

• 23x - 87 = 57 + 27x
• => -57 - 87 = 27x - 23x
• => -144 = 4x
• => x = -144/4 = -36

Question-6:

• 22x - 164 = 30x + 324
• => -324 - 164 = 30x - 22x
• => -488 = 8x
• => x = -488/8 = -61

Question-7:

• 240 = 2x - 6(2x - 20)
• => 240 = 2x - 12x + 120
• => 240 = -10x + 120
• => 120 = -10x
• => x = -12

Question-8:

• 9 = 6x + 3(3x - 6)
• => 9 = 6x + 9x - 18
• => 9 = 15x - 18
• => 27 = 15x
• => x = 27/15 = 9/5 = 1.8

Question-9:

• {13x - 39}/13 = 6
• => 13x/13 - 39/13 = 6
• => x - 3 = 6
• => x = 9

Question-10:

• 64 = 4x + 2(x - 22)
• => 64 = 4x + 2x - 44
• => 64 = 6x - 44
• => 108 = 6x
• => x = 108/6 = 18

Hoped this helped!

Answer 2

Answer:

(1) $x=-14\frac{7}{9}$

(2) $x=72$

(3) $x=11$

(4) $x=-1\frac{7}{11}$

(5) $x=-36$

(6) $x=-61$

(7) $x=-12$

(8) $x=1\frac{4}{5}$

(9) $x=9$

(10) $x=18$

Step-by-step explanation:

One thing that will be very useful in solving these problems is the distributive property, that states $a(b-c)=ab-ac$.

(1) Use the distributive property to open the parentheses, getting:

$5x-14x+154=287$

Then, combine like terms and isolate $x$ on one side to get:

$-9x=133$

Divide both sides by -9 to get:

$x=-14\frac{7}{9}$

(2) Combine like terms and isolate $x$ on one side to get:

$-8x=-576$

Divide both sides by -8 to get:

$x=72$

(3) Use the distributive property to open the parentheses, getting:

$7x+14x-56=175$

Combine like terms and isolate $x$ on one side to get:

$21x=231$

Divide both sides by 21 to get:

$x=11$

(4) Use the distributive property to open the parentheses, getting:

$123=4x-15x+105$

Combine like terms and isolate $x$ on one side to get:

$-11x=18$

Divide both sides by -11 to get:

$x=-1\frac{7}{11}$

(5) Combine like terms and isolate $x$ on one side to get:

$-4x=144$

Divide both sides by -4 to get:

$x=-36$

(6) Combine like terms and isolate $x$ on one side to get:

$-8x=488$

Divide both sides by -8 to get:

$x=-61$

(7) Use the distributive property to open the parentheses, getting:

$240=2x-12x+120$

Combine like terms and isolate $x$ on one side to get:

$-10x=120$

Divide both sides by -10 to get:

$x=-12$

(8) Use the distributive property to open the parentheses, getting:

$9=6x+9x-18$

Combine like terms and isolate $x$ on one side to get:

$15x=27$

Divide both sides by 15 to get:

$x=1\frac{4}{5}$

(9) Simplify the left side of the equation to get:

$x-3=6$

Add 3 to both sides to arrive at:

$x=9$

(10) Use the distributive property to open the parentheses, getting:

$64=4x+2x-44$

Combine like terms and isolate $x$ on one side to get:

$6x=108$

Divide both sides by 6 to get:

$x=18$

Hope this helps :)

P.S. These problems took 1 hour for me to solve and type the solutions. Please give Brainliest if this answer helped you :)