8x+2=10x-2

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


Simplifying
8x + 2 = 10x + -2

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

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

Solving
2 + 8x = -2 + 10x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -2 + -2 = -4
-2x = -4

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

Simplifying
x = 2

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