7x+2=2x-6

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


Simplifying
7x + 2 = 2x + -6

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

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

Solving
2 + 7x = -6 + 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.
2 + 7x + -2x = -6 + 2x + -2x

Combine like terms: 7x + -2x = 5x
2 + 5x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 5x = -6 + 0
2 + 5x = -6

Add '-2' to each side of the equation.
2 + -2 + 5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -6 + -2
5x = -6 + -2

Combine like terms: -6 + -2 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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