10x-13=x+7

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


Simplifying
10x + -13 = x + 7

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

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

Solving
-13 + 10x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 10x + -1x = 7 + x + -1x

Combine like terms: 10x + -1x = 9x
-13 + 9x = 7 + x + -1x

Combine like terms: x + -1x = 0
-13 + 9x = 7 + 0
-13 + 9x = 7

Add '13' to each side of the equation.
-13 + 13 + 9x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 9x = 7 + 13
9x = 7 + 13

Combine like terms: 7 + 13 = 20
9x = 20

Divide each side by '9'.
x = 2.222222222

Simplifying
x = 2.222222222

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