-3(8x-4)=3(-7x-2)-x

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Solution for -3(8x-4)=3(-7x-2)-x equation:


Simplifying
-3(8x + -4) = 3(-7x + -2) + -1x

Reorder the terms:
-3(-4 + 8x) = 3(-7x + -2) + -1x
(-4 * -3 + 8x * -3) = 3(-7x + -2) + -1x
(12 + -24x) = 3(-7x + -2) + -1x

Reorder the terms:
12 + -24x = 3(-2 + -7x) + -1x
12 + -24x = (-2 * 3 + -7x * 3) + -1x
12 + -24x = (-6 + -21x) + -1x

Combine like terms: -21x + -1x = -22x
12 + -24x = -6 + -22x

Solving
12 + -24x = -6 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
12 + -24x + 22x = -6 + -22x + 22x

Combine like terms: -24x + 22x = -2x
12 + -2x = -6 + -22x + 22x

Combine like terms: -22x + 22x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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