6x+13=7x+6

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


Simplifying
6x + 13 = 7x + 6

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

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

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

Combine like terms: 6x + -7x = -1x
13 + -1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -1x = 6 + 0
13 + -1x = 6

Add '-13' to each side of the equation.
13 + -13 + -1x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 6 + -13
-1x = 6 + -13

Combine like terms: 6 + -13 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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