3*(x-5)=8*x-30

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Solution for 3*(x-5)=8*x-30 equation: 


Simplifying
3(x + -5) = 8x + -30

Reorder the terms:
3(-5 + x) = 8x + -30
(-5 * 3 + x * 3) = 8x + -30
(-15 + 3x) = 8x + -30

Reorder the terms:
-15 + 3x = -30 + 8x

Solving
-15 + 3x = -30 + 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.
-15 + 3x + -8x = -30 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-15 + -5x = -30 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -5x = -30 + 0
-15 + -5x = -30

Add '15' to each side of the equation.
-15 + 15 + -5x = -30 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = -30 + 15
-5x = -30 + 15

Combine like terms: -30 + 15 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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