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

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


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

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

Reorder the terms:
-24 + 3x = 4(2 + x)
-24 + 3x = (2 * 4 + x * 4)
-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 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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