-6x+7=x-42

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Solution for -6x+7=x-42 equation:


Simplifying
-6x + 7 = x + -42

Reorder the terms:
7 + -6x = x + -42

Reorder the terms:
7 + -6x = -42 + x

Solving
7 + -6x = -42 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + -6x + -1x = -42 + x + -1x

Combine like terms: -6x + -1x = -7x
7 + -7x = -42 + x + -1x

Combine like terms: x + -1x = 0
7 + -7x = -42 + 0
7 + -7x = -42

Add '-7' to each side of the equation.
7 + -7 + -7x = -42 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = -42 + -7
-7x = -42 + -7

Combine like terms: -42 + -7 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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