5*x+30=8*x-6

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Solution for 5*x+30=8*x-6 equation:


Simplifying
5x + 30 = 8x + -6

Reorder the terms:
30 + 5x = 8x + -6

Reorder the terms:
30 + 5x = -6 + 8x

Solving
30 + 5x = -6 + 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 = -6 + 8x + -8x

Combine like terms: 5x + -8x = -3x
30 + -3x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -3x = -6 + 0
30 + -3x = -6

Add '-30' to each side of the equation.
30 + -30 + -3x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = -6 + -30
-3x = -6 + -30

Combine like terms: -6 + -30 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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