3x+42-4x=2-5x+4

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Solution for 3x+42-4x=2-5x+4 equation:


Simplifying
3x + 42 + -4x = 2 + -5x + 4

Reorder the terms:
42 + 3x + -4x = 2 + -5x + 4

Combine like terms: 3x + -4x = -1x
42 + -1x = 2 + -5x + 4

Reorder the terms:
42 + -1x = 2 + 4 + -5x

Combine like terms: 2 + 4 = 6
42 + -1x = 6 + -5x

Solving
42 + -1x = 6 + -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.
42 + -1x + 5x = 6 + -5x + 5x

Combine like terms: -1x + 5x = 4x
42 + 4x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
42 + 4x = 6 + 0
42 + 4x = 6

Add '-42' to each side of the equation.
42 + -42 + 4x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + 4x = 6 + -42
4x = 6 + -42

Combine like terms: 6 + -42 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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