7x+32=-4(x-4)+3x

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Solution for 7x+32=-4(x-4)+3x equation: 


Simplifying
7x + 32 = -4(x + -4) + 3x

Reorder the terms:
32 + 7x = -4(x + -4) + 3x

Reorder the terms:
32 + 7x = -4(-4 + x) + 3x
32 + 7x = (-4 * -4 + x * -4) + 3x
32 + 7x = (16 + -4x) + 3x

Combine like terms: -4x + 3x = -1x
32 + 7x = 16 + -1x

Solving
32 + 7x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
32 + 7x + x = 16 + -1x + x

Combine like terms: 7x + x = 8x
32 + 8x = 16 + -1x + x

Combine like terms: -1x + x = 0
32 + 8x = 16 + 0
32 + 8x = 16

Add '-32' to each side of the equation.
32 + -32 + 8x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 8x = 16 + -32
8x = 16 + -32

Combine like terms: 16 + -32 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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