-5(x-6)=8(x-6)

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Solution for -5(x-6)=8(x-6) equation:


Simplifying
-5(x + -6) = 8(x + -6)

Reorder the terms:
-5(-6 + x) = 8(x + -6)
(-6 * -5 + x * -5) = 8(x + -6)
(30 + -5x) = 8(x + -6)

Reorder the terms:
30 + -5x = 8(-6 + x)
30 + -5x = (-6 * 8 + x * 8)
30 + -5x = (-48 + 8x)

Solving
30 + -5x = -48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + -5x + -8x = -48 + 8x + -8x

Combine like terms: -5x + -8x = -13x
30 + -13x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -13x = -48 + 0
30 + -13x = -48

Add '-30' to each side of the equation.
30 + -30 + -13x = -48 + -30

Combine like terms: 30 + -30 = 0
0 + -13x = -48 + -30
-13x = -48 + -30

Combine like terms: -48 + -30 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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