3(x+1)+2(x+5)=2(x-7)

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Solution for 3(x+1)+2(x+5)=2(x-7) equation:


Simplifying
3(x + 1) + 2(x + 5) = 2(x + -7)

Reorder the terms:
3(1 + x) + 2(x + 5) = 2(x + -7)
(1 * 3 + x * 3) + 2(x + 5) = 2(x + -7)
(3 + 3x) + 2(x + 5) = 2(x + -7)

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

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

Combine like terms: 3 + 10 = 13
13 + 3x + 2x = 2(x + -7)

Combine like terms: 3x + 2x = 5x
13 + 5x = 2(x + -7)

Reorder the terms:
13 + 5x = 2(-7 + x)
13 + 5x = (-7 * 2 + x * 2)
13 + 5x = (-14 + 2x)

Solving
13 + 5x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + 5x + -2x = -14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
13 + 3x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 3x = -14 + 0
13 + 3x = -14

Add '-13' to each side of the equation.
13 + -13 + 3x = -14 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -14 + -13
3x = -14 + -13

Combine like terms: -14 + -13 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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