4(3x+8)=5(4x-8)

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Solution for 4(3x+8)=5(4x-8) equation:


Simplifying
4(3x + 8) = 5(4x + -8)

Reorder the terms:
4(8 + 3x) = 5(4x + -8)
(8 * 4 + 3x * 4) = 5(4x + -8)
(32 + 12x) = 5(4x + -8)

Reorder the terms:
32 + 12x = 5(-8 + 4x)
32 + 12x = (-8 * 5 + 4x * 5)
32 + 12x = (-40 + 20x)

Solving
32 + 12x = -40 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
32 + 12x + -20x = -40 + 20x + -20x

Combine like terms: 12x + -20x = -8x
32 + -8x = -40 + 20x + -20x

Combine like terms: 20x + -20x = 0
32 + -8x = -40 + 0
32 + -8x = -40

Add '-32' to each side of the equation.
32 + -32 + -8x = -40 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -40 + -32
-8x = -40 + -32

Combine like terms: -40 + -32 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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