13x-5=10x+7

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Solution for 13x-5=10x+7 equation:


Simplifying
13x + -5 = 10x + 7

Reorder the terms:
-5 + 13x = 10x + 7

Reorder the terms:
-5 + 13x = 7 + 10x

Solving
-5 + 13x = 7 + 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.
-5 + 13x + -10x = 7 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-5 + 3x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + 3x = 7 + 0
-5 + 3x = 7

Add '5' to each side of the equation.
-5 + 5 + 3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 7 + 5
3x = 7 + 5

Combine like terms: 7 + 5 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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