2(3x-4)-8=3(x-3)

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Solution for 2(3x-4)-8=3(x-3) equation:


Simplifying
2(3x + -4) + -8 = 3(x + -3)

Reorder the terms:
2(-4 + 3x) + -8 = 3(x + -3)
(-4 * 2 + 3x * 2) + -8 = 3(x + -3)
(-8 + 6x) + -8 = 3(x + -3)

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

Combine like terms: -8 + -8 = -16
-16 + 6x = 3(x + -3)

Reorder the terms:
-16 + 6x = 3(-3 + x)
-16 + 6x = (-3 * 3 + x * 3)
-16 + 6x = (-9 + 3x)

Solving
-16 + 6x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-16 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 3x = -9 + 0
-16 + 3x = -9

Add '16' to each side of the equation.
-16 + 16 + 3x = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -9 + 16
3x = -9 + 16

Combine like terms: -9 + 16 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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