24-3x=-4(4x+3)-4(-5-3x)

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Solution for 24-3x=-4(4x+3)-4(-5-3x) equation:


Simplifying
24 + -3x = -4(4x + 3) + -4(-5 + -3x)

Reorder the terms:
24 + -3x = -4(3 + 4x) + -4(-5 + -3x)
24 + -3x = (3 * -4 + 4x * -4) + -4(-5 + -3x)
24 + -3x = (-12 + -16x) + -4(-5 + -3x)
24 + -3x = -12 + -16x + (-5 * -4 + -3x * -4)
24 + -3x = -12 + -16x + (20 + 12x)

Reorder the terms:
24 + -3x = -12 + 20 + -16x + 12x

Combine like terms: -12 + 20 = 8
24 + -3x = 8 + -16x + 12x

Combine like terms: -16x + 12x = -4x
24 + -3x = 8 + -4x

Solving
24 + -3x = 8 + -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 = 8 + -4x + 4x

Combine like terms: -3x + 4x = 1x
24 + 1x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 1x = 8 + 0
24 + 1x = 8

Add '-24' to each side of the equation.
24 + -24 + 1x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 8 + -24
1x = 8 + -24

Combine like terms: 8 + -24 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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