6x-13=7x+28

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Solution for 6x-13=7x+28 equation:


Simplifying
6x + -13 = 7x + 28

Reorder the terms:
-13 + 6x = 7x + 28

Reorder the terms:
-13 + 6x = 28 + 7x

Solving
-13 + 6x = 28 + 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 = 28 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-13 + -1x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -1x = 28 + 0
-13 + -1x = 28

Add '13' to each side of the equation.
-13 + 13 + -1x = 28 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 28 + 13
-1x = 28 + 13

Combine like terms: 28 + 13 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41

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