7x-3x+6-2=2x-8

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Solution for 7x-3x+6-2=2x-8 equation:


Simplifying
7x + -3x + 6 + -2 = 2x + -8

Reorder the terms:
6 + -2 + 7x + -3x = 2x + -8

Combine like terms: 6 + -2 = 4
4 + 7x + -3x = 2x + -8

Combine like terms: 7x + -3x = 4x
4 + 4x = 2x + -8

Reorder the terms:
4 + 4x = -8 + 2x

Solving
4 + 4x = -8 + 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.
4 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
4 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = -8 + 0
4 + 2x = -8

Add '-4' to each side of the equation.
4 + -4 + 2x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -8 + -4
2x = -8 + -4

Combine like terms: -8 + -4 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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