(6x-13)=(7x-2)

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Solution for (6x-13)=(7x-2) equation:


Simplifying
(6x + -13) = (7x + -2)

Reorder the terms:
(-13 + 6x) = (7x + -2)

Remove parenthesis around (-13 + 6x)
-13 + 6x = (7x + -2)

Reorder the terms:
-13 + 6x = (-2 + 7x)

Remove parenthesis around (-2 + 7x)
-13 + 6x = -2 + 7x

Solving
-13 + 6x = -2 + 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 = -2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-13 + -1x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -1x = -2 + 0
-13 + -1x = -2

Add '13' to each side of the equation.
-13 + 13 + -1x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -2 + 13
-1x = -2 + 13

Combine like terms: -2 + 13 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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