5x-6=-2x+8

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Solution for 5x-6=-2x+8 equation:


Simplifying
5x + -6 = -2x + 8

Reorder the terms:
-6 + 5x = -2x + 8

Reorder the terms:
-6 + 5x = 8 + -2x

Solving
-6 + 5x = 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.
-6 + 5x + 2x = 8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-6 + 7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 7x = 8 + 0
-6 + 7x = 8

Add '6' to each side of the equation.
-6 + 6 + 7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 8 + 6
7x = 8 + 6

Combine like terms: 8 + 6 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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