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

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


Simplifying
-1(2x + -9) + -1(5x + -4) + 7 = -4(x + -5) + -1(8x + 4) + 9

Reorder the terms:
-1(-9 + 2x) + -1(5x + -4) + 7 = -4(x + -5) + -1(8x + 4) + 9
(-9 * -1 + 2x * -1) + -1(5x + -4) + 7 = -4(x + -5) + -1(8x + 4) + 9
(9 + -2x) + -1(5x + -4) + 7 = -4(x + -5) + -1(8x + 4) + 9

Reorder the terms:
9 + -2x + -1(-4 + 5x) + 7 = -4(x + -5) + -1(8x + 4) + 9
9 + -2x + (-4 * -1 + 5x * -1) + 7 = -4(x + -5) + -1(8x + 4) + 9
9 + -2x + (4 + -5x) + 7 = -4(x + -5) + -1(8x + 4) + 9

Reorder the terms:
9 + 4 + 7 + -2x + -5x = -4(x + -5) + -1(8x + 4) + 9

Combine like terms: 9 + 4 = 13
13 + 7 + -2x + -5x = -4(x + -5) + -1(8x + 4) + 9

Combine like terms: 13 + 7 = 20
20 + -2x + -5x = -4(x + -5) + -1(8x + 4) + 9

Combine like terms: -2x + -5x = -7x
20 + -7x = -4(x + -5) + -1(8x + 4) + 9

Reorder the terms:
20 + -7x = -4(-5 + x) + -1(8x + 4) + 9
20 + -7x = (-5 * -4 + x * -4) + -1(8x + 4) + 9
20 + -7x = (20 + -4x) + -1(8x + 4) + 9

Reorder the terms:
20 + -7x = 20 + -4x + -1(4 + 8x) + 9
20 + -7x = 20 + -4x + (4 * -1 + 8x * -1) + 9
20 + -7x = 20 + -4x + (-4 + -8x) + 9

Reorder the terms:
20 + -7x = 20 + -4 + 9 + -4x + -8x

Combine like terms: 20 + -4 = 16
20 + -7x = 16 + 9 + -4x + -8x

Combine like terms: 16 + 9 = 25
20 + -7x = 25 + -4x + -8x

Combine like terms: -4x + -8x = -12x
20 + -7x = 25 + -12x

Solving
20 + -7x = 25 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
20 + -7x + 12x = 25 + -12x + 12x

Combine like terms: -7x + 12x = 5x
20 + 5x = 25 + -12x + 12x

Combine like terms: -12x + 12x = 0
20 + 5x = 25 + 0
20 + 5x = 25

Add '-20' to each side of the equation.
20 + -20 + 5x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 25 + -20
5x = 25 + -20

Combine like terms: 25 + -20 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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