8(-3x-2)=4(3x-1)

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Solution for 8(-3x-2)=4(3x-1) equation:


Simplifying
8(-3x + -2) = 4(3x + -1)

Reorder the terms:
8(-2 + -3x) = 4(3x + -1)
(-2 * 8 + -3x * 8) = 4(3x + -1)
(-16 + -24x) = 4(3x + -1)

Reorder the terms:
-16 + -24x = 4(-1 + 3x)
-16 + -24x = (-1 * 4 + 3x * 4)
-16 + -24x = (-4 + 12x)

Solving
-16 + -24x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-16 + -24x + -12x = -4 + 12x + -12x

Combine like terms: -24x + -12x = -36x
-16 + -36x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-16 + -36x = -4 + 0
-16 + -36x = -4

Add '16' to each side of the equation.
-16 + 16 + -36x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + -36x = -4 + 16
-36x = -4 + 16

Combine like terms: -4 + 16 = 12
-36x = 12

Divide each side by '-36'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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