x+2=5x-42

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Solution for x+2=5x-42 equation:


Simplifying
x + 2 = 5x + -42

Reorder the terms:
2 + x = 5x + -42

Reorder the terms:
2 + x = -42 + 5x

Solving
2 + x = -42 + 5x

Solving for variable 'x'.

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

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

Combine like terms: x + -5x = -4x
2 + -4x = -42 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -4x = -42 + 0
2 + -4x = -42

Add '-2' to each side of the equation.
2 + -2 + -4x = -42 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -42 + -2
-4x = -42 + -2

Combine like terms: -42 + -2 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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