10x+5=12x-5

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Solution for 10x+5=12x-5 equation:


Simplifying
10x + 5 = 12x + -5

Reorder the terms:
5 + 10x = 12x + -5

Reorder the terms:
5 + 10x = -5 + 12x

Solving
5 + 10x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 10x + -12x = -5 + 12x + -12x

Combine like terms: 10x + -12x = -2x
5 + -2x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -2x = -5 + 0
5 + -2x = -5

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

Combine like terms: 5 + -5 = 0
0 + -2x = -5 + -5
-2x = -5 + -5

Combine like terms: -5 + -5 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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