5(x+6)=8x+57

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Solution for 5(x+6)=8x+57 equation:


Simplifying
5(x + 6) = 8x + 57

Reorder the terms:
5(6 + x) = 8x + 57
(6 * 5 + x * 5) = 8x + 57
(30 + 5x) = 8x + 57

Reorder the terms:
30 + 5x = 57 + 8x

Solving
30 + 5x = 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.
30 + 5x + -8x = 57 + 8x + -8x

Combine like terms: 5x + -8x = -3x
30 + -3x = 57 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -3x = 57 + 0
30 + -3x = 57

Add '-30' to each side of the equation.
30 + -30 + -3x = 57 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = 57 + -30
-3x = 57 + -30

Combine like terms: 57 + -30 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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