7x-6=5x+13

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Solution for 7x-6=5x+13 equation:


Simplifying
7x + -6 = 5x + 13

Reorder the terms:
-6 + 7x = 5x + 13

Reorder the terms:
-6 + 7x = 13 + 5x

Solving
-6 + 7x = 13 + 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.
-6 + 7x + -5x = 13 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-6 + 2x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 2x = 13 + 0
-6 + 2x = 13

Add '6' to each side of the equation.
-6 + 6 + 2x = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 13 + 6
2x = 13 + 6

Combine like terms: 13 + 6 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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