2x+42-3x=2-8x+5

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Solution for 2x+42-3x=2-8x+5 equation: 


Simplifying
2x + 42 + -3x = 2 + -8x + 5

Reorder the terms:
42 + 2x + -3x = 2 + -8x + 5

Combine like terms: 2x + -3x = -1x
42 + -1x = 2 + -8x + 5

Reorder the terms:
42 + -1x = 2 + 5 + -8x

Combine like terms: 2 + 5 = 7
42 + -1x = 7 + -8x

Solving
42 + -1x = 7 + -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.
42 + -1x + 8x = 7 + -8x + 8x

Combine like terms: -1x + 8x = 7x
42 + 7x = 7 + -8x + 8x

Combine like terms: -8x + 8x = 0
42 + 7x = 7 + 0
42 + 7x = 7

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

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

Combine like terms: 7 + -42 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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