5(x+8)=3[x-(8-x)]

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


Simplifying
5(x + 8) = 3[x + -1(8 + -1x)]

Reorder the terms:
5(8 + x) = 3[x + -1(8 + -1x)]
(8 * 5 + x * 5) = 3[x + -1(8 + -1x)]
(40 + 5x) = 3[x + -1(8 + -1x)]
40 + 5x = 3[x + (8 * -1 + -1x * -1)]
40 + 5x = 3[x + (-8 + 1x)]

Reorder the terms:
40 + 5x = 3[-8 + x + 1x]

Combine like terms: x + 1x = 2x
40 + 5x = 3[-8 + 2x]
40 + 5x = [-8 * 3 + 2x * 3]
40 + 5x = [-24 + 6x]

Solving
40 + 5x = -24 + 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.
40 + 5x + -6x = -24 + 6x + -6x

Combine like terms: 5x + -6x = -1x
40 + -1x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -1x = -24 + 0
40 + -1x = -24

Add '-40' to each side of the equation.
40 + -40 + -1x = -24 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = -24 + -40
-1x = -24 + -40

Combine like terms: -24 + -40 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64

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