5(x+7)=2(x+12)+2(x+1)

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Solution for 5(x+7)=2(x+12)+2(x+1) equation:


Simplifying
5(x + 7) = 2(x + 12) + 2(x + 1)

Reorder the terms:
5(7 + x) = 2(x + 12) + 2(x + 1)
(7 * 5 + x * 5) = 2(x + 12) + 2(x + 1)
(35 + 5x) = 2(x + 12) + 2(x + 1)

Reorder the terms:
35 + 5x = 2(12 + x) + 2(x + 1)
35 + 5x = (12 * 2 + x * 2) + 2(x + 1)
35 + 5x = (24 + 2x) + 2(x + 1)

Reorder the terms:
35 + 5x = 24 + 2x + 2(1 + x)
35 + 5x = 24 + 2x + (1 * 2 + x * 2)
35 + 5x = 24 + 2x + (2 + 2x)

Reorder the terms:
35 + 5x = 24 + 2 + 2x + 2x

Combine like terms: 24 + 2 = 26
35 + 5x = 26 + 2x + 2x

Combine like terms: 2x + 2x = 4x
35 + 5x = 26 + 4x

Solving
35 + 5x = 26 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
35 + 5x + -4x = 26 + 4x + -4x

Combine like terms: 5x + -4x = 1x
35 + 1x = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
35 + 1x = 26 + 0
35 + 1x = 26

Add '-35' to each side of the equation.
35 + -35 + 1x = 26 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = 26 + -35
1x = 26 + -35

Combine like terms: 26 + -35 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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