6x+30=13x-47

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Solution for 6x+30=13x-47 equation:


Simplifying
6x + 30 = 13x + -47

Reorder the terms:
30 + 6x = 13x + -47

Reorder the terms:
30 + 6x = -47 + 13x

Solving
30 + 6x = -47 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
30 + 6x + -13x = -47 + 13x + -13x

Combine like terms: 6x + -13x = -7x
30 + -7x = -47 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -7x = -47 + 0
30 + -7x = -47

Add '-30' to each side of the equation.
30 + -30 + -7x = -47 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -47 + -30
-7x = -47 + -30

Combine like terms: -47 + -30 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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