10x+2=11x-2

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Solution for 10x+2=11x-2 equation:


Simplifying
10x + 2 = 11x + -2

Reorder the terms:
2 + 10x = 11x + -2

Reorder the terms:
2 + 10x = -2 + 11x

Solving
2 + 10x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
2 + 10x + -11x = -2 + 11x + -11x

Combine like terms: 10x + -11x = -1x
2 + -1x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
2 + -1x = -2 + 0
2 + -1x = -2

Add '-2' to each side of the equation.
2 + -2 + -1x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -2 + -2
-1x = -2 + -2

Combine like terms: -2 + -2 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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