6x+38=13x-46

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Solution for 6x+38=13x-46 equation:


Simplifying
6x + 38 = 13x + -46

Reorder the terms:
38 + 6x = 13x + -46

Reorder the terms:
38 + 6x = -46 + 13x

Solving
38 + 6x = -46 + 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.
38 + 6x + -13x = -46 + 13x + -13x

Combine like terms: 6x + -13x = -7x
38 + -7x = -46 + 13x + -13x

Combine like terms: 13x + -13x = 0
38 + -7x = -46 + 0
38 + -7x = -46

Add '-38' to each side of the equation.
38 + -38 + -7x = -46 + -38

Combine like terms: 38 + -38 = 0
0 + -7x = -46 + -38
-7x = -46 + -38

Combine like terms: -46 + -38 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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