5x-6=6(x-8)

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


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

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

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

Solving
-6 + 5x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = -48 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -48 + 0
-6 + -1x = -48

Add '6' to each side of the equation.
-6 + 6 + -1x = -48 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -48 + 6
-1x = -48 + 6

Combine like terms: -48 + 6 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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