5x-12=4x-10

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Solution for 5x-12=4x-10 equation:


Simplifying
5x + -12 = 4x + -10

Reorder the terms:
-12 + 5x = 4x + -10

Reorder the terms:
-12 + 5x = -10 + 4x

Solving
-12 + 5x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 5x + -4x = -10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-12 + 1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 1x = -10 + 0
-12 + 1x = -10

Add '12' to each side of the equation.
-12 + 12 + 1x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -10 + 12
1x = -10 + 12

Combine like terms: -10 + 12 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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