10x-8=7x-2

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


Simplifying
10x + -8 = 7x + -2

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

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

Solving
-8 + 10x = -2 + 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 + 10x + -7x = -2 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-8 + 3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 3x = -2 + 0
-8 + 3x = -2

Add '8' to each side of the equation.
-8 + 8 + 3x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -2 + 8
3x = -2 + 8

Combine like terms: -2 + 8 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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