x+8=3(2x-3)

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Solution for x+8=3(2x-3) equation:


Simplifying
x + 8 = 3(2x + -3)

Reorder the terms:
8 + x = 3(2x + -3)

Reorder the terms:
8 + x = 3(-3 + 2x)
8 + x = (-3 * 3 + 2x * 3)
8 + x = (-9 + 6x)

Solving
8 + x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + x + -6x = -9 + 6x + -6x

Combine like terms: x + -6x = -5x
8 + -5x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -5x = -9 + 0
8 + -5x = -9

Add '-8' to each side of the equation.
8 + -8 + -5x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -9 + -8
-5x = -9 + -8

Combine like terms: -9 + -8 = -17
-5x = -17

Divide each side by '-5'.
x = 3.4

Simplifying
x = 3.4

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