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

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


Simplifying
-1(4x + -5) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7

Reorder the terms:
-1(-5 + 4x) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7
(-5 * -1 + 4x * -1) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7
(5 + -4x) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7

Reorder the terms:
5 + -4x + -1(-7 + 3x) + 2 = -2(x + -9) + -1(9x + 2) + 7
5 + -4x + (-7 * -1 + 3x * -1) + 2 = -2(x + -9) + -1(9x + 2) + 7
5 + -4x + (7 + -3x) + 2 = -2(x + -9) + -1(9x + 2) + 7

Reorder the terms:
5 + 7 + 2 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7

Combine like terms: 5 + 7 = 12
12 + 2 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7

Combine like terms: 12 + 2 = 14
14 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7

Combine like terms: -4x + -3x = -7x
14 + -7x = -2(x + -9) + -1(9x + 2) + 7

Reorder the terms:
14 + -7x = -2(-9 + x) + -1(9x + 2) + 7
14 + -7x = (-9 * -2 + x * -2) + -1(9x + 2) + 7
14 + -7x = (18 + -2x) + -1(9x + 2) + 7

Reorder the terms:
14 + -7x = 18 + -2x + -1(2 + 9x) + 7
14 + -7x = 18 + -2x + (2 * -1 + 9x * -1) + 7
14 + -7x = 18 + -2x + (-2 + -9x) + 7

Reorder the terms:
14 + -7x = 18 + -2 + 7 + -2x + -9x

Combine like terms: 18 + -2 = 16
14 + -7x = 16 + 7 + -2x + -9x

Combine like terms: 16 + 7 = 23
14 + -7x = 23 + -2x + -9x

Combine like terms: -2x + -9x = -11x
14 + -7x = 23 + -11x

Solving
14 + -7x = 23 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
14 + -7x + 11x = 23 + -11x + 11x

Combine like terms: -7x + 11x = 4x
14 + 4x = 23 + -11x + 11x

Combine like terms: -11x + 11x = 0
14 + 4x = 23 + 0
14 + 4x = 23

Add '-14' to each side of the equation.
14 + -14 + 4x = 23 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 23 + -14
4x = 23 + -14

Combine like terms: 23 + -14 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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