2[3x-(4x-8)]=5(x-8)

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Solution for 2[3x-(4x-8)]=5(x-8) equation:


Simplifying
2[3x + -1(4x + -8)] = 5(x + -8)

Reorder the terms:
2[3x + -1(-8 + 4x)] = 5(x + -8)
2[3x + (-8 * -1 + 4x * -1)] = 5(x + -8)
2[3x + (8 + -4x)] = 5(x + -8)

Reorder the terms:
2[8 + 3x + -4x] = 5(x + -8)

Combine like terms: 3x + -4x = -1x
2[8 + -1x] = 5(x + -8)
[8 * 2 + -1x * 2] = 5(x + -8)
[16 + -2x] = 5(x + -8)

Reorder the terms:
16 + -2x = 5(-8 + x)
16 + -2x = (-8 * 5 + x * 5)
16 + -2x = (-40 + 5x)

Solving
16 + -2x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -2x + -5x = -40 + 5x + -5x

Combine like terms: -2x + -5x = -7x
16 + -7x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -7x = -40 + 0
16 + -7x = -40

Add '-16' to each side of the equation.
16 + -16 + -7x = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -40 + -16
-7x = -40 + -16

Combine like terms: -40 + -16 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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