3(x+11)-2(x+2)=2(x-5)+3(x-7)

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Solution for 3(x+11)-2(x+2)=2(x-5)+3(x-7) equation: 


Simplifying
3(x + 11) + -2(x + 2) = 2(x + -5) + 3(x + -7)

Reorder the terms:
3(11 + x) + -2(x + 2) = 2(x + -5) + 3(x + -7)
(11 * 3 + x * 3) + -2(x + 2) = 2(x + -5) + 3(x + -7)
(33 + 3x) + -2(x + 2) = 2(x + -5) + 3(x + -7)

Reorder the terms:
33 + 3x + -2(2 + x) = 2(x + -5) + 3(x + -7)
33 + 3x + (2 * -2 + x * -2) = 2(x + -5) + 3(x + -7)
33 + 3x + (-4 + -2x) = 2(x + -5) + 3(x + -7)

Reorder the terms:
33 + -4 + 3x + -2x = 2(x + -5) + 3(x + -7)

Combine like terms: 33 + -4 = 29
29 + 3x + -2x = 2(x + -5) + 3(x + -7)

Combine like terms: 3x + -2x = 1x
29 + 1x = 2(x + -5) + 3(x + -7)

Reorder the terms:
29 + 1x = 2(-5 + x) + 3(x + -7)
29 + 1x = (-5 * 2 + x * 2) + 3(x + -7)
29 + 1x = (-10 + 2x) + 3(x + -7)

Reorder the terms:
29 + 1x = -10 + 2x + 3(-7 + x)
29 + 1x = -10 + 2x + (-7 * 3 + x * 3)
29 + 1x = -10 + 2x + (-21 + 3x)

Reorder the terms:
29 + 1x = -10 + -21 + 2x + 3x

Combine like terms: -10 + -21 = -31
29 + 1x = -31 + 2x + 3x

Combine like terms: 2x + 3x = 5x
29 + 1x = -31 + 5x

Solving
29 + 1x = -31 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
29 + 1x + -5x = -31 + 5x + -5x

Combine like terms: 1x + -5x = -4x
29 + -4x = -31 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -4x = -31 + 0
29 + -4x = -31

Add '-29' to each side of the equation.
29 + -29 + -4x = -31 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = -31 + -29
-4x = -31 + -29

Combine like terms: -31 + -29 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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