5(x+4)=3[x-(4-x)]

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


Simplifying
5(x + 4) = 3[x + -1(4 + -1x)]

Reorder the terms:
5(4 + x) = 3[x + -1(4 + -1x)]
(4 * 5 + x * 5) = 3[x + -1(4 + -1x)]
(20 + 5x) = 3[x + -1(4 + -1x)]
20 + 5x = 3[x + (4 * -1 + -1x * -1)]
20 + 5x = 3[x + (-4 + 1x)]

Reorder the terms:
20 + 5x = 3[-4 + x + 1x]

Combine like terms: x + 1x = 2x
20 + 5x = 3[-4 + 2x]
20 + 5x = [-4 * 3 + 2x * 3]
20 + 5x = [-12 + 6x]

Solving
20 + 5x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
20 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -1x = -12 + 0
20 + -1x = -12

Add '-20' to each side of the equation.
20 + -20 + -1x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -12 + -20
-1x = -12 + -20

Combine like terms: -12 + -20 = -32
-1x = -32

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

Simplifying
x = 32

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