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

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


Simplifying
8 + -2(3 + -4x) = 5(x + -4)
8 + (3 * -2 + -4x * -2) = 5(x + -4)
8 + (-6 + 8x) = 5(x + -4)

Combine like terms: 8 + -6 = 2
2 + 8x = 5(x + -4)

Reorder the terms:
2 + 8x = 5(-4 + x)
2 + 8x = (-4 * 5 + x * 5)
2 + 8x = (-20 + 5x)

Solving
2 + 8x = -20 + 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.
2 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
2 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 3x = -20 + 0
2 + 3x = -20

Add '-2' to each side of the equation.
2 + -2 + 3x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -20 + -2
3x = -20 + -2

Combine like terms: -20 + -2 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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