9-3(2x+8)+2(4-5x)=20-(5+2x)

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Solution for 9-3(2x+8)+2(4-5x)=20-(5+2x) equation:


Simplifying
9 + -3(2x + 8) + 2(4 + -5x) = 20 + -1(5 + 2x)

Reorder the terms:
9 + -3(8 + 2x) + 2(4 + -5x) = 20 + -1(5 + 2x)
9 + (8 * -3 + 2x * -3) + 2(4 + -5x) = 20 + -1(5 + 2x)
9 + (-24 + -6x) + 2(4 + -5x) = 20 + -1(5 + 2x)
9 + -24 + -6x + (4 * 2 + -5x * 2) = 20 + -1(5 + 2x)
9 + -24 + -6x + (8 + -10x) = 20 + -1(5 + 2x)

Reorder the terms:
9 + -24 + 8 + -6x + -10x = 20 + -1(5 + 2x)

Combine like terms: 9 + -24 = -15
-15 + 8 + -6x + -10x = 20 + -1(5 + 2x)

Combine like terms: -15 + 8 = -7
-7 + -6x + -10x = 20 + -1(5 + 2x)

Combine like terms: -6x + -10x = -16x
-7 + -16x = 20 + -1(5 + 2x)
-7 + -16x = 20 + (5 * -1 + 2x * -1)
-7 + -16x = 20 + (-5 + -2x)

Combine like terms: 20 + -5 = 15
-7 + -16x = 15 + -2x

Solving
-7 + -16x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + -16x + 2x = 15 + -2x + 2x

Combine like terms: -16x + 2x = -14x
-7 + -14x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + -14x = 15 + 0
-7 + -14x = 15

Add '7' to each side of the equation.
-7 + 7 + -14x = 15 + 7

Combine like terms: -7 + 7 = 0
0 + -14x = 15 + 7
-14x = 15 + 7

Combine like terms: 15 + 7 = 22
-14x = 22

Divide each side by '-14'.
x = -1.571428571

Simplifying
x = -1.571428571

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