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

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


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

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

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

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

Combine like terms: 2 + 9 = 11
11 + 4 + -5X + -4X = -5(X + -9) + -1(8X + 7) + 2

Combine like terms: 11 + 4 = 15
15 + -5X + -4X = -5(X + -9) + -1(8X + 7) + 2

Combine like terms: -5X + -4X = -9X
15 + -9X = -5(X + -9) + -1(8X + 7) + 2

Reorder the terms:
15 + -9X = -5(-9 + X) + -1(8X + 7) + 2
15 + -9X = (-9 * -5 + X * -5) + -1(8X + 7) + 2
15 + -9X = (45 + -5X) + -1(8X + 7) + 2

Reorder the terms:
15 + -9X = 45 + -5X + -1(7 + 8X) + 2
15 + -9X = 45 + -5X + (7 * -1 + 8X * -1) + 2
15 + -9X = 45 + -5X + (-7 + -8X) + 2

Reorder the terms:
15 + -9X = 45 + -7 + 2 + -5X + -8X

Combine like terms: 45 + -7 = 38
15 + -9X = 38 + 2 + -5X + -8X

Combine like terms: 38 + 2 = 40
15 + -9X = 40 + -5X + -8X

Combine like terms: -5X + -8X = -13X
15 + -9X = 40 + -13X

Solving
15 + -9X = 40 + -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.
15 + -9X + 13X = 40 + -13X + 13X

Combine like terms: -9X + 13X = 4X
15 + 4X = 40 + -13X + 13X

Combine like terms: -13X + 13X = 0
15 + 4X = 40 + 0
15 + 4X = 40

Add '-15' to each side of the equation.
15 + -15 + 4X = 40 + -15

Combine like terms: 15 + -15 = 0
0 + 4X = 40 + -15
4X = 40 + -15

Combine like terms: 40 + -15 = 25
4X = 25

Divide each side by '4'.
X = 6.25

Simplifying
X = 6.25

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