10x-13=7x+7

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


Simplifying
10x + -13 = 7x + 7

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

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

Solving
-13 + 10x = 7 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
-13 + 3x = 7 + 0
-13 + 3x = 7

Add '13' to each side of the equation.
-13 + 13 + 3x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 7 + 13
3x = 7 + 13

Combine like terms: 7 + 13 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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