3(x+8)=2(4x+32)

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Solution for 3(x+8)=2(4x+32) equation:


Simplifying
3(x + 8) = 2(4x + 32)

Reorder the terms:
3(8 + x) = 2(4x + 32)
(8 * 3 + x * 3) = 2(4x + 32)
(24 + 3x) = 2(4x + 32)

Reorder the terms:
24 + 3x = 2(32 + 4x)
24 + 3x = (32 * 2 + 4x * 2)
24 + 3x = (64 + 8x)

Solving
24 + 3x = 64 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 3x + -8x = 64 + 8x + -8x

Combine like terms: 3x + -8x = -5x
24 + -5x = 64 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -5x = 64 + 0
24 + -5x = 64

Add '-24' to each side of the equation.
24 + -24 + -5x = 64 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 64 + -24
-5x = 64 + -24

Combine like terms: 64 + -24 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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