7x-8=5x+10

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Solution for 7x-8=5x+10 equation:


Simplifying
7x + -8 = 5x + 10

Reorder the terms:
-8 + 7x = 5x + 10

Reorder the terms:
-8 + 7x = 10 + 5x

Solving
-8 + 7x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-8 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 2x = 10 + 0
-8 + 2x = 10

Add '8' to each side of the equation.
-8 + 8 + 2x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 10 + 8
2x = 10 + 8

Combine like terms: 10 + 8 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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