6x+7=11x-13

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Solution for 6x+7=11x-13 equation:


Simplifying
6x + 7 = 11x + -13

Reorder the terms:
7 + 6x = 11x + -13

Reorder the terms:
7 + 6x = -13 + 11x

Solving
7 + 6x = -13 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
7 + 6x + -11x = -13 + 11x + -11x

Combine like terms: 6x + -11x = -5x
7 + -5x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -5x = -13 + 0
7 + -5x = -13

Add '-7' to each side of the equation.
7 + -7 + -5x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -13 + -7
-5x = -13 + -7

Combine like terms: -13 + -7 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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