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

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


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

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

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

Remove parenthesis around (-13 + x)
32 + -8x = -13 + x

Solving
32 + -8x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32 + -8x + -1x = -13 + x + -1x

Combine like terms: -8x + -1x = -9x
32 + -9x = -13 + x + -1x

Combine like terms: x + -1x = 0
32 + -9x = -13 + 0
32 + -9x = -13

Add '-32' to each side of the equation.
32 + -32 + -9x = -13 + -32

Combine like terms: 32 + -32 = 0
0 + -9x = -13 + -32
-9x = -13 + -32

Combine like terms: -13 + -32 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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