5(x-1)+16(2x+2)=3(2x-7)-x

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Solution for 5(x-1)+16(2x+2)=3(2x-7)-x equation:


Simplifying
5(x + -1) + 16(2x + 2) = 3(2x + -7) + -1x

Reorder the terms:
5(-1 + x) + 16(2x + 2) = 3(2x + -7) + -1x
(-1 * 5 + x * 5) + 16(2x + 2) = 3(2x + -7) + -1x
(-5 + 5x) + 16(2x + 2) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 5x + 16(2 + 2x) = 3(2x + -7) + -1x
-5 + 5x + (2 * 16 + 2x * 16) = 3(2x + -7) + -1x
-5 + 5x + (32 + 32x) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 32 + 5x + 32x = 3(2x + -7) + -1x

Combine like terms: -5 + 32 = 27
27 + 5x + 32x = 3(2x + -7) + -1x

Combine like terms: 5x + 32x = 37x
27 + 37x = 3(2x + -7) + -1x

Reorder the terms:
27 + 37x = 3(-7 + 2x) + -1x
27 + 37x = (-7 * 3 + 2x * 3) + -1x
27 + 37x = (-21 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
27 + 37x = -21 + 5x

Solving
27 + 37x = -21 + 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.
27 + 37x + -5x = -21 + 5x + -5x

Combine like terms: 37x + -5x = 32x
27 + 32x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
27 + 32x = -21 + 0
27 + 32x = -21

Add '-27' to each side of the equation.
27 + -27 + 32x = -21 + -27

Combine like terms: 27 + -27 = 0
0 + 32x = -21 + -27
32x = -21 + -27

Combine like terms: -21 + -27 = -48
32x = -48

Divide each side by '32'.
x = -1.5

Simplifying
x = -1.5

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