-8(x-4)=2(x-13)

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Solution for -8(x-4)=2(x-13) equation:


Simplifying
-8(x + -4) = 2(x + -13)

Reorder the terms:
-8(-4 + x) = 2(x + -13)
(-4 * -8 + x * -8) = 2(x + -13)
(32 + -8x) = 2(x + -13)

Reorder the terms:
32 + -8x = 2(-13 + x)
32 + -8x = (-13 * 2 + x * 2)
32 + -8x = (-26 + 2x)

Solving
32 + -8x = -26 + 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 + -8x + -2x = -26 + 2x + -2x

Combine like terms: -8x + -2x = -10x
32 + -10x = -26 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + -10x = -26 + 0
32 + -10x = -26

Add '-32' to each side of the equation.
32 + -32 + -10x = -26 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = -26 + -32
-10x = -26 + -32

Combine like terms: -26 + -32 = -58
-10x = -58

Divide each side by '-10'.
x = 5.8

Simplifying
x = 5.8

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