3(2x-1)=-8(x+3)

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Solution for 3(2x-1)=-8(x+3) equation:


Simplifying
3(2x + -1) = -8(x + 3)

Reorder the terms:
3(-1 + 2x) = -8(x + 3)
(-1 * 3 + 2x * 3) = -8(x + 3)
(-3 + 6x) = -8(x + 3)

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

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

Combine like terms: 6x + 8x = 14x
-3 + 14x = -24 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 14x = -24 + 0
-3 + 14x = -24

Add '3' to each side of the equation.
-3 + 3 + 14x = -24 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = -24 + 3
14x = -24 + 3

Combine like terms: -24 + 3 = -21
14x = -21

Divide each side by '14'.
x = -1.5

Simplifying
x = -1.5

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