-(x-5)+5(x-9)=2(x+8)-(2x+5)

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


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

Reorder the terms:
-1(-5 + x) + 5(x + -9) = 2(x + 8) + -1(2x + 5)
(-5 * -1 + x * -1) + 5(x + -9) = 2(x + 8) + -1(2x + 5)
(5 + -1x) + 5(x + -9) = 2(x + 8) + -1(2x + 5)

Reorder the terms:
5 + -1x + 5(-9 + x) = 2(x + 8) + -1(2x + 5)
5 + -1x + (-9 * 5 + x * 5) = 2(x + 8) + -1(2x + 5)
5 + -1x + (-45 + 5x) = 2(x + 8) + -1(2x + 5)

Reorder the terms:
5 + -45 + -1x + 5x = 2(x + 8) + -1(2x + 5)

Combine like terms: 5 + -45 = -40
-40 + -1x + 5x = 2(x + 8) + -1(2x + 5)

Combine like terms: -1x + 5x = 4x
-40 + 4x = 2(x + 8) + -1(2x + 5)

Reorder the terms:
-40 + 4x = 2(8 + x) + -1(2x + 5)
-40 + 4x = (8 * 2 + x * 2) + -1(2x + 5)
-40 + 4x = (16 + 2x) + -1(2x + 5)

Reorder the terms:
-40 + 4x = 16 + 2x + -1(5 + 2x)
-40 + 4x = 16 + 2x + (5 * -1 + 2x * -1)
-40 + 4x = 16 + 2x + (-5 + -2x)

Reorder the terms:
-40 + 4x = 16 + -5 + 2x + -2x

Combine like terms: 16 + -5 = 11
-40 + 4x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 4x = 11 + 0
-40 + 4x = 11

Solving
-40 + 4x = 11

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 4x = 11 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 11 + 40
4x = 11 + 40

Combine like terms: 11 + 40 = 51
4x = 51

Divide each side by '4'.
x = 12.75

Simplifying
x = 12.75

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