10+2x-2=8+3x-3

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Solution for 10+2x-2=8+3x-3 equation: 


Simplifying
10 + 2x + -2 = 8 + 3x + -3

Reorder the terms:
10 + -2 + 2x = 8 + 3x + -3

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

Reorder the terms:
8 + 2x = 8 + -3 + 3x

Combine like terms: 8 + -3 = 5
8 + 2x = 5 + 3x

Solving
8 + 2x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 5 + 0
8 + -1x = 5

Add '-8' to each side of the equation.
8 + -8 + -1x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 5 + -8
-1x = 5 + -8

Combine like terms: 5 + -8 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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