6x+47=11x-13

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Solution for 6x+47=11x-13 equation:


Simplifying
6x + 47 = 11x + -13

Reorder the terms:
47 + 6x = 11x + -13

Reorder the terms:
47 + 6x = -13 + 11x

Solving
47 + 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.
47 + 6x + -11x = -13 + 11x + -11x

Combine like terms: 6x + -11x = -5x
47 + -5x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
47 + -5x = -13 + 0
47 + -5x = -13

Add '-47' to each side of the equation.
47 + -47 + -5x = -13 + -47

Combine like terms: 47 + -47 = 0
0 + -5x = -13 + -47
-5x = -13 + -47

Combine like terms: -13 + -47 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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