3(x-24)=0-2(x-4)

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Solution for 3(x-24)=0-2(x-4) equation:


Simplifying
3(x + -24) = 0 + -2(x + -4)

Reorder the terms:
3(-24 + x) = 0 + -2(x + -4)
(-24 * 3 + x * 3) = 0 + -2(x + -4)
(-72 + 3x) = 0 + -2(x + -4)

Reorder the terms:
-72 + 3x = 0 + -2(-4 + x)
-72 + 3x = 0 + (-4 * -2 + x * -2)
-72 + 3x = 0 + (8 + -2x)

Combine like terms: 0 + 8 = 8
-72 + 3x = 8 + -2x

Solving
-72 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-72 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-72 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-72 + 5x = 8 + 0
-72 + 5x = 8

Add '72' to each side of the equation.
-72 + 72 + 5x = 8 + 72

Combine like terms: -72 + 72 = 0
0 + 5x = 8 + 72
5x = 8 + 72

Combine like terms: 8 + 72 = 80
5x = 80

Divide each side by '5'.
x = 16

Simplifying
x = 16

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