3x+42-4x=3-6x+4

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Solution for 3x+42-4x=3-6x+4 equation:


Simplifying
3x + 42 + -4x = 3 + -6x + 4

Reorder the terms:
42 + 3x + -4x = 3 + -6x + 4

Combine like terms: 3x + -4x = -1x
42 + -1x = 3 + -6x + 4

Reorder the terms:
42 + -1x = 3 + 4 + -6x

Combine like terms: 3 + 4 = 7
42 + -1x = 7 + -6x

Solving
42 + -1x = 7 + -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.
42 + -1x + 6x = 7 + -6x + 6x

Combine like terms: -1x + 6x = 5x
42 + 5x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
42 + 5x = 7 + 0
42 + 5x = 7

Add '-42' to each side of the equation.
42 + -42 + 5x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 7 + -42
5x = 7 + -42

Combine like terms: 7 + -42 = -35
5x = -35

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

Simplifying
x = -7

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