2(5x+5)=3(3x-7)+32

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Solution for 2(5x+5)=3(3x-7)+32 equation: 


Simplifying
2(5x + 5) = 3(3x + -7) + 32

Reorder the terms:
2(5 + 5x) = 3(3x + -7) + 32
(5 * 2 + 5x * 2) = 3(3x + -7) + 32
(10 + 10x) = 3(3x + -7) + 32

Reorder the terms:
10 + 10x = 3(-7 + 3x) + 32
10 + 10x = (-7 * 3 + 3x * 3) + 32
10 + 10x = (-21 + 9x) + 32

Reorder the terms:
10 + 10x = -21 + 32 + 9x

Combine like terms: -21 + 32 = 11
10 + 10x = 11 + 9x

Solving
10 + 10x = 11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 10x + -9x = 11 + 9x + -9x

Combine like terms: 10x + -9x = 1x
10 + 1x = 11 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 1x = 11 + 0
10 + 1x = 11

Add '-10' to each side of the equation.
10 + -10 + 1x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 11 + -10
1x = 11 + -10

Combine like terms: 11 + -10 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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