6x+13=8x-7

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Solution for 6x+13=8x-7 equation:


Simplifying
6x + 13 = 8x + -7

Reorder the terms:
13 + 6x = 8x + -7

Reorder the terms:
13 + 6x = -7 + 8x

Solving
13 + 6x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + 6x + -8x = -7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
13 + -2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -2x = -7 + 0
13 + -2x = -7

Add '-13' to each side of the equation.
13 + -13 + -2x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -7 + -13
-2x = -7 + -13

Combine like terms: -7 + -13 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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