Question

Problem 3

Answer 1

Answer:

Mathpapa

Step-by-step explanation:

Answer 2

Problem 1 Answer: $x=10$

Simplify both sides of the equation

$(2)(x)+(2)(-3)=14(Distribute)$

$2x+-6=14$

$2x-6=14$

Add 6 to both sides

$2x-6+6=14+6$

$2x=20$

Divide both sides by 2

$2x/2=20/2$

$x=10$

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Problem 2 Answer: $x=-7$

Simplify both sides of the equation

$(-5)(x)+(-5)(-1)=40(Distribute)$

$-5x+5=40$

Subtract 5 from both sides

$-5x+5-5=40-5$

$-5x=35$

Divide both sides by -5

$-5x/5=35/-5$

$x=-7$

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Problem 3 Answer: $x=-8$

Simplify both sides of the equation

$(12)(x)+(12)(10)=24(Distribute)$

$12x+120=24$

Subtract 120 from both sides

$12x+120-120=24-120$

$12x=-96$

Divide both sides by 12

$12x/12=-96/12$

$x=-8$

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Problem 4 Answer: $x=-1/2$

Move all terms to the left:

$2(x+6)-(11)=0$

Multiply parentheses

$2x+12-11=0$

Add all the numbers together, and all the variables

$2x+1=0$

Move all terms containing x to the left, all other terms to the right

$2x=-1\\x=-1/2$

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Problem 5 Answer: $x = 44$