10x-9=7x+13

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Solution for 10x-9=7x+13 equation:


Simplifying
10x + -9 = 7x + 13

Reorder the terms:
-9 + 10x = 7x + 13

Reorder the terms:
-9 + 10x = 13 + 7x

Solving
-9 + 10x = 13 + 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.
-9 + 10x + -7x = 13 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-9 + 3x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + 3x = 13 + 0
-9 + 3x = 13

Add '9' to each side of the equation.
-9 + 9 + 3x = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 13 + 9
3x = 13 + 9

Combine like terms: 13 + 9 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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