3x-6=8(x+3)

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Solution for 3x-6=8(x+3) equation:


Simplifying
3x + -6 = 8(x + 3)

Reorder the terms:
-6 + 3x = 8(x + 3)

Reorder the terms:
-6 + 3x = 8(3 + x)
-6 + 3x = (3 * 8 + x * 8)
-6 + 3x = (24 + 8x)

Solving
-6 + 3x = 24 + 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.
-6 + 3x + -8x = 24 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = 24 + 0
-6 + -5x = 24

Add '6' to each side of the equation.
-6 + 6 + -5x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 24 + 6
-5x = 24 + 6

Combine like terms: 24 + 6 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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