13x-7=10x+2

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Solution for 13x-7=10x+2 equation:


Simplifying
13x + -7 = 10x + 2

Reorder the terms:
-7 + 13x = 10x + 2

Reorder the terms:
-7 + 13x = 2 + 10x

Solving
-7 + 13x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + 13x + -10x = 2 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-7 + 3x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + 3x = 2 + 0
-7 + 3x = 2

Add '7' to each side of the equation.
-7 + 7 + 3x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 2 + 7
3x = 2 + 7

Combine like terms: 2 + 7 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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