-9(-5-2x)+2-(-x-8)=-x(3-4)+2(x-3)-7

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Solution for -9(-5-2x)+2-(-x-8)=-x(3-4)+2(x-3)-7 equation: 


Simplifying
-9(-5 + -2x) + 2 + -1(-1x + -8) = -1x(3 + -4) + 2(x + -3) + -7
(-5 * -9 + -2x * -9) + 2 + -1(-1x + -8) = -1x(3 + -4) + 2(x + -3) + -7
(45 + 18x) + 2 + -1(-1x + -8) = -1x(3 + -4) + 2(x + -3) + -7

Reorder the terms:
45 + 18x + 2 + -1(-8 + -1x) = -1x(3 + -4) + 2(x + -3) + -7
45 + 18x + 2 + (-8 * -1 + -1x * -1) = -1x(3 + -4) + 2(x + -3) + -7
45 + 18x + 2 + (8 + 1x) = -1x(3 + -4) + 2(x + -3) + -7

Reorder the terms:
45 + 2 + 8 + 18x + 1x = -1x(3 + -4) + 2(x + -3) + -7

Combine like terms: 45 + 2 = 47
47 + 8 + 18x + 1x = -1x(3 + -4) + 2(x + -3) + -7

Combine like terms: 47 + 8 = 55
55 + 18x + 1x = -1x(3 + -4) + 2(x + -3) + -7

Combine like terms: 18x + 1x = 19x
55 + 19x = -1x(3 + -4) + 2(x + -3) + -7

Combine like terms: 3 + -4 = -1
55 + 19x = -1x(-1) + 2(x + -3) + -7

Reorder the terms for easier multiplication:
55 + 19x = -1 * -1x + 2(x + -3) + -7

Multiply -1 * -1
55 + 19x = 1x + 2(x + -3) + -7

Reorder the terms:
55 + 19x = 1x + 2(-3 + x) + -7
55 + 19x = 1x + (-3 * 2 + x * 2) + -7
55 + 19x = 1x + (-6 + 2x) + -7

Reorder the terms:
55 + 19x = -6 + -7 + 1x + 2x

Combine like terms: -6 + -7 = -13
55 + 19x = -13 + 1x + 2x

Combine like terms: 1x + 2x = 3x
55 + 19x = -13 + 3x

Solving
55 + 19x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
55 + 19x + -3x = -13 + 3x + -3x

Combine like terms: 19x + -3x = 16x
55 + 16x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
55 + 16x = -13 + 0
55 + 16x = -13

Add '-55' to each side of the equation.
55 + -55 + 16x = -13 + -55

Combine like terms: 55 + -55 = 0
0 + 16x = -13 + -55
16x = -13 + -55

Combine like terms: -13 + -55 = -68
16x = -68

Divide each side by '16'.
x = -4.25

Simplifying
x = -4.25

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