6(x-8)=8x-42

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Solution for 6(x-8)=8x-42 equation:


Simplifying
6(x + -8) = 8x + -42

Reorder the terms:
6(-8 + x) = 8x + -42
(-8 * 6 + x * 6) = 8x + -42
(-48 + 6x) = 8x + -42

Reorder the terms:
-48 + 6x = -42 + 8x

Solving
-48 + 6x = -42 + 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.
-48 + 6x + -8x = -42 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-48 + -2x = -42 + 8x + -8x

Combine like terms: 8x + -8x = 0
-48 + -2x = -42 + 0
-48 + -2x = -42

Add '48' to each side of the equation.
-48 + 48 + -2x = -42 + 48

Combine like terms: -48 + 48 = 0
0 + -2x = -42 + 48
-2x = -42 + 48

Combine like terms: -42 + 48 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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