6(3x+4)-8=5+2(3-3x)

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Solution for 6(3x+4)-8=5+2(3-3x) equation: 


Simplifying
6(3x + 4) + -8 = 5 + 2(3 + -3x)

Reorder the terms:
6(4 + 3x) + -8 = 5 + 2(3 + -3x)
(4 * 6 + 3x * 6) + -8 = 5 + 2(3 + -3x)
(24 + 18x) + -8 = 5 + 2(3 + -3x)

Reorder the terms:
24 + -8 + 18x = 5 + 2(3 + -3x)

Combine like terms: 24 + -8 = 16
16 + 18x = 5 + 2(3 + -3x)
16 + 18x = 5 + (3 * 2 + -3x * 2)
16 + 18x = 5 + (6 + -6x)

Combine like terms: 5 + 6 = 11
16 + 18x = 11 + -6x

Solving
16 + 18x = 11 + -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.
16 + 18x + 6x = 11 + -6x + 6x

Combine like terms: 18x + 6x = 24x
16 + 24x = 11 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 24x = 11 + 0
16 + 24x = 11

Add '-16' to each side of the equation.
16 + -16 + 24x = 11 + -16

Combine like terms: 16 + -16 = 0
0 + 24x = 11 + -16
24x = 11 + -16

Combine like terms: 11 + -16 = -5
24x = -5

Divide each side by '24'.
x = -0.2083333333

Simplifying
x = -0.2083333333

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