3x-3(5-9x)=6(8x+2)

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Solution for 3x-3(5-9x)=6(8x+2) equation:


Simplifying
3x + -3(5 + -9x) = 6(8x + 2)
3x + (5 * -3 + -9x * -3) = 6(8x + 2)
3x + (-15 + 27x) = 6(8x + 2)

Reorder the terms:
-15 + 3x + 27x = 6(8x + 2)

Combine like terms: 3x + 27x = 30x
-15 + 30x = 6(8x + 2)

Reorder the terms:
-15 + 30x = 6(2 + 8x)
-15 + 30x = (2 * 6 + 8x * 6)
-15 + 30x = (12 + 48x)

Solving
-15 + 30x = 12 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-15 + 30x + -48x = 12 + 48x + -48x

Combine like terms: 30x + -48x = -18x
-15 + -18x = 12 + 48x + -48x

Combine like terms: 48x + -48x = 0
-15 + -18x = 12 + 0
-15 + -18x = 12

Add '15' to each side of the equation.
-15 + 15 + -18x = 12 + 15

Combine like terms: -15 + 15 = 0
0 + -18x = 12 + 15
-18x = 12 + 15

Combine like terms: 12 + 15 = 27
-18x = 27

Divide each side by '-18'.
x = -1.5

Simplifying
x = -1.5

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