7x-13=12-5x-5

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Solution for 7x-13=12-5x-5 equation:


Simplifying
7x + -13 = 12 + -5x + -5

Reorder the terms:
-13 + 7x = 12 + -5x + -5

Reorder the terms:
-13 + 7x = 12 + -5 + -5x

Combine like terms: 12 + -5 = 7
-13 + 7x = 7 + -5x

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

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-13 + 7x + 5x = 7 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-13 + 12x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 12x = 7 + 0
-13 + 12x = 7

Add '13' to each side of the equation.
-13 + 13 + 12x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 12x = 7 + 13
12x = 7 + 13

Combine like terms: 7 + 13 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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