5x-10=7x-8

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


Simplifying
5x + -10 = 7x + -8

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

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

Solving
-10 + 5x = -8 + 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.
-10 + 5x + -7x = -8 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-10 + -2x = -8 + 0
-10 + -2x = -8

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

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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