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

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


Simplifying
3(8 + -1x) = -4(x + -3)
(8 * 3 + -1x * 3) = -4(x + -3)
(24 + -3x) = -4(x + -3)

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

Solving
24 + -3x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
24 + -3x + 4x = 12 + -4x + 4x

Combine like terms: -3x + 4x = 1x
24 + 1x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 1x = 12 + 0
24 + 1x = 12

Add '-24' to each side of the equation.
24 + -24 + 1x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 12 + -24
1x = 12 + -24

Combine like terms: 12 + -24 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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