3(4x-24)=4(x+40)

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Solution for 3(4x-24)=4(x+40) equation:


Simplifying
3(4x + -24) = 4(x + 40)

Reorder the terms:
3(-24 + 4x) = 4(x + 40)
(-24 * 3 + 4x * 3) = 4(x + 40)
(-72 + 12x) = 4(x + 40)

Reorder the terms:
-72 + 12x = 4(40 + x)
-72 + 12x = (40 * 4 + x * 4)
-72 + 12x = (160 + 4x)

Solving
-72 + 12x = 160 + 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.
-72 + 12x + -4x = 160 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-72 + 8x = 160 + 4x + -4x

Combine like terms: 4x + -4x = 0
-72 + 8x = 160 + 0
-72 + 8x = 160

Add '72' to each side of the equation.
-72 + 72 + 8x = 160 + 72

Combine like terms: -72 + 72 = 0
0 + 8x = 160 + 72
8x = 160 + 72

Combine like terms: 160 + 72 = 232
8x = 232

Divide each side by '8'.
x = 29

Simplifying
x = 29

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