4[3-(2x+8)]-6=5(2-x)

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Solution for 4[3-(2x+8)]-6=5(2-x) equation:


Simplifying
4[3 + -1(2x + 8)] + -6 = 5(2 + -1x)

Reorder the terms:
4[3 + -1(8 + 2x)] + -6 = 5(2 + -1x)
4[3 + (8 * -1 + 2x * -1)] + -6 = 5(2 + -1x)
4[3 + (-8 + -2x)] + -6 = 5(2 + -1x)

Combine like terms: 3 + -8 = -5
4[-5 + -2x] + -6 = 5(2 + -1x)
[-5 * 4 + -2x * 4] + -6 = 5(2 + -1x)
[-20 + -8x] + -6 = 5(2 + -1x)

Reorder the terms:
-20 + -6 + -8x = 5(2 + -1x)

Combine like terms: -20 + -6 = -26
-26 + -8x = 5(2 + -1x)
-26 + -8x = (2 * 5 + -1x * 5)
-26 + -8x = (10 + -5x)

Solving
-26 + -8x = 10 + -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.
-26 + -8x + 5x = 10 + -5x + 5x

Combine like terms: -8x + 5x = -3x
-26 + -3x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-26 + -3x = 10 + 0
-26 + -3x = 10

Add '26' to each side of the equation.
-26 + 26 + -3x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + -3x = 10 + 26
-3x = 10 + 26

Combine like terms: 10 + 26 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12

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