-4(x-8)=x+16-3x

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Solution for -4(x-8)=x+16-3x equation:


Simplifying
-4(x + -8) = x + 16 + -3x

Reorder the terms:
-4(-8 + x) = x + 16 + -3x
(-8 * -4 + x * -4) = x + 16 + -3x
(32 + -4x) = x + 16 + -3x

Reorder the terms:
32 + -4x = 16 + x + -3x

Combine like terms: x + -3x = -2x
32 + -4x = 16 + -2x

Solving
32 + -4x = 16 + -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.
32 + -4x + 2x = 16 + -2x + 2x

Combine like terms: -4x + 2x = -2x
32 + -2x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + -2x = 16 + 0
32 + -2x = 16

Add '-32' to each side of the equation.
32 + -32 + -2x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 16 + -32
-2x = 16 + -32

Combine like terms: 16 + -32 = -16
-2x = -16

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

Simplifying
x = 8

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