x+8=6x-42

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Solution for x+8=6x-42 equation:


Simplifying
x + 8 = 6x + -42

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

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

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

Combine like terms: x + -6x = -5x
8 + -5x = -42 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -5x = -42 + 0
8 + -5x = -42

Add '-8' to each side of the equation.
8 + -8 + -5x = -42 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -42 + -8
-5x = -42 + -8

Combine like terms: -42 + -8 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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