7x-8=2x+6

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


Simplifying
7x + -8 = 2x + 6

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

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

Solving
-8 + 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.
-8 + 7x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-8 + 5x = 6 + 0
-8 + 5x = 6

Add '8' to each side of the equation.
-8 + 8 + 5x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 6 + 8
5x = 6 + 8

Combine like terms: 6 + 8 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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