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

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


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

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

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

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

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

Solving
2 + 3x = -2 + 1x

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.
2 + 3x + -1x = -2 + 1x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 2x = -2 + 0
2 + 2x = -2

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

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

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

Divide each side by '2'.
x = -2

Simplifying
x = -2

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