2x-8=7x+10

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Solution for 2x-8=7x+10 equation:


Simplifying
2x + -8 = 7x + 10

Reorder the terms:
-8 + 2x = 7x + 10

Reorder the terms:
-8 + 2x = 10 + 7x

Solving
-8 + 2x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 2x + -7x = 10 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-8 + -5x = 10 + 0
-8 + -5x = 10

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

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

Combine like terms: 10 + 8 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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