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

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

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

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

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

Combine like terms: 18x + -1x = 17x
55 + 17x = x(3 + -4) + 2(x + -3) * 7

Combine like terms: 3 + -4 = -1
55 + 17x = x(-1) + 2(x + -3) * 7

Reorder the terms for easier multiplication:
55 + 17x = -1x + 2(x + -3) * 7

Reorder the terms:
55 + 17x = -1x + 2(-3 + x) * 7

Reorder the terms for easier multiplication:
55 + 17x = -1x + 2 * 7(-3 + x)

Multiply 2 * 7
55 + 17x = -1x + 14(-3 + x)
55 + 17x = -1x + (-3 * 14 + x * 14)
55 + 17x = -1x + (-42 + 14x)

Reorder the terms:
55 + 17x = -42 + -1x + 14x

Combine like terms: -1x + 14x = 13x
55 + 17x = -42 + 13x

Solving
55 + 17x = -42 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
55 + 17x + -13x = -42 + 13x + -13x

Combine like terms: 17x + -13x = 4x
55 + 4x = -42 + 13x + -13x

Combine like terms: 13x + -13x = 0
55 + 4x = -42 + 0
55 + 4x = -42

Add '-55' to each side of the equation.
55 + -55 + 4x = -42 + -55

Combine like terms: 55 + -55 = 0
0 + 4x = -42 + -55
4x = -42 + -55

Combine like terms: -42 + -55 = -97
4x = -97

Divide each side by '4'.
x = -24.25

Simplifying
x = -24.25

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