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

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


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

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

Reorder the terms:
32 + 8x = 3(-4 + x)
32 + 8x = (-4 * 3 + x * 3)
32 + 8x = (-12 + 3x)

Solving
32 + 8x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + 8x + -3x = -12 + 3x + -3x

Combine like terms: 8x + -3x = 5x
32 + 5x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 5x = -12 + 0
32 + 5x = -12

Add '-32' to each side of the equation.
32 + -32 + 5x = -12 + -32

Combine like terms: 32 + -32 = 0
0 + 5x = -12 + -32
5x = -12 + -32

Combine like terms: -12 + -32 = -44
5x = -44

Divide each side by '5'.
x = -8.8

Simplifying
x = -8.8

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