4x+6=2x-2

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Solution for 4x+6=2x-2 equation:


Simplifying
4x + 6 = 2x + -2

Reorder the terms:
6 + 4x = 2x + -2

Reorder the terms:
6 + 4x = -2 + 2x

Solving
6 + 4x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = -2 + 0
6 + 2x = -2

Add '-6' to each side of the equation.
6 + -6 + 2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -2 + -6
2x = -2 + -6

Combine like terms: -2 + -6 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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