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

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


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

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

Reorder the terms:
24 + 3x = 4(-8 + x)
24 + 3x = (-8 * 4 + x * 4)
24 + 3x = (-32 + 4x)

Solving
24 + 3x = -32 + 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 = -32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
24 + -1x = -32 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -1x = -32 + 0
24 + -1x = -32

Add '-24' to each side of the equation.
24 + -24 + -1x = -32 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -32 + -24
-1x = -32 + -24

Combine like terms: -32 + -24 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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