6x+13=57-8x

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Solution for 6x+13=57-8x equation:


Simplifying
6x + 13 = 57 + -8x

Reorder the terms:
13 + 6x = 57 + -8x

Solving
13 + 6x = 57 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
13 + 6x + 8x = 57 + -8x + 8x

Combine like terms: 6x + 8x = 14x
13 + 14x = 57 + -8x + 8x

Combine like terms: -8x + 8x = 0
13 + 14x = 57 + 0
13 + 14x = 57

Add '-13' to each side of the equation.
13 + -13 + 14x = 57 + -13

Combine like terms: 13 + -13 = 0
0 + 14x = 57 + -13
14x = 57 + -13

Combine like terms: 57 + -13 = 44
14x = 44

Divide each side by '14'.
x = 3.142857143

Simplifying
x = 3.142857143

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