Question

10 (2+x) = 15 (x-1)+5

Answer 1

Step 1: Simplify both sides of the equation.

10(2+x)=15(x−1)+5


(10)(2)+(10)(x)=(15)(x)+(15)(−1)+5(Distribute)

20+10x=15x+−15+5

10x+20=(15x)+(−15+5)(Combine Like Terms)

10x+20=15x+−10

10x+20=15x−10


Step 2: Subtract 15x from both sides.

10x+20−15x=15x−10−15x

−5x+20=−10

Step 3: Subtract 20 from both sides.

−5x+20−20=−10−20

−5x=−30

Step 4: Divide both sides by -5.

-5x/-5=-30/-5

The answer is x=6



Hope this helped :)

Answer 2

Simplifying
10(2 + x) = 15(x + -1) + 5
(2 * 10 + x * 10) = 15(x + -1) + 5
(20 + 10x) = 15(x + -1) + 5

Reorder the terms:
20 + 10x = 15(-1 + x) + 5
20 + 10x = (-1 * 15 + x * 15) + 5
20 + 10x = (-15 + 15x) + 5

Reorder the terms:
20 + 10x = -15 + 5 + 15x

Combine like terms: -15 + 5 = -10
20 + 10x = -10 + 15x

Solving
20 + 10x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + 10x + -15x = -10 + 15x + -15x

Combine like terms: 10x + -15x = -5x
20 + -5x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -5x = -10 + 0
20 + -5x = -10

Add '-20' to each side of the equation.
20 + -20 + -5x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -10 + -20
-5x = -10 + -20

Combine like terms: -10 + -20 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6