-8(x-4)=4(x-13)

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Solution for -8(x-4)=4(x-13) equation: 


Simplifying
-8(x + -4) = 4(x + -13)

Reorder the terms:
-8(-4 + x) = 4(x + -13)
(-4 * -8 + x * -8) = 4(x + -13)
(32 + -8x) = 4(x + -13)

Reorder the terms:
32 + -8x = 4(-13 + x)
32 + -8x = (-13 * 4 + x * 4)
32 + -8x = (-52 + 4x)

Solving
32 + -8x = -52 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
32 + -8x + -4x = -52 + 4x + -4x

Combine like terms: -8x + -4x = -12x
32 + -12x = -52 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + -12x = -52 + 0
32 + -12x = -52

Add '-32' to each side of the equation.
32 + -32 + -12x = -52 + -32

Combine like terms: 32 + -32 = 0
0 + -12x = -52 + -32
-12x = -52 + -32

Combine like terms: -52 + -32 = -84
-12x = -84

Divide each side by '-12'.
x = 7

Simplifying
x = 7

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