7*x-14=5*x+10

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Solution for 7*x-14=5*x+10 equation: 


Simplifying
7x + -14 = 5x + 10

Reorder the terms:
-14 + 7x = 5x + 10

Reorder the terms:
-14 + 7x = 10 + 5x

Solving
-14 + 7x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-14 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 2x = 10 + 0
-14 + 2x = 10

Add '14' to each side of the equation.
-14 + 14 + 2x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 10 + 14
2x = 10 + 14

Combine like terms: 10 + 14 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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