7x-13=10x+2

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


Simplifying
7x + -13 = 10x + 2

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

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

Solving
-13 + 7x = 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.
-13 + 7x + -10x = 2 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-13 + -3x = 2 + 0
-13 + -3x = 2

Add '13' to each side of the equation.
-13 + 13 + -3x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 2 + 13
-3x = 2 + 13

Combine like terms: 2 + 13 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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