5x-8=6x-10

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Solution for 5x-8=6x-10 equation:


Simplifying
5x + -8 = 6x + -10

Reorder the terms:
-8 + 5x = 6x + -10

Reorder the terms:
-8 + 5x = -10 + 6x

Solving
-8 + 5x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 5x + -6x = -10 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-8 + -1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -1x = -10 + 0
-8 + -1x = -10

Add '8' to each side of the equation.
-8 + 8 + -1x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -10 + 8
-1x = -10 + 8

Combine like terms: -10 + 8 = -2
-1x = -2

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

Simplifying
x = 2

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