-(4x-5)-(7x-3)+9=-7(x-7)-(6x+9)+7

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Solution for -(4x-5)-(7x-3)+9=-7(x-7)-(6x+9)+7 equation: 


Simplifying
-1(4x + -5) + -1(7x + -3) + 9 = -7(x + -7) + -1(6x + 9) + 7

Reorder the terms:
-1(-5 + 4x) + -1(7x + -3) + 9 = -7(x + -7) + -1(6x + 9) + 7
(-5 * -1 + 4x * -1) + -1(7x + -3) + 9 = -7(x + -7) + -1(6x + 9) + 7
(5 + -4x) + -1(7x + -3) + 9 = -7(x + -7) + -1(6x + 9) + 7

Reorder the terms:
5 + -4x + -1(-3 + 7x) + 9 = -7(x + -7) + -1(6x + 9) + 7
5 + -4x + (-3 * -1 + 7x * -1) + 9 = -7(x + -7) + -1(6x + 9) + 7
5 + -4x + (3 + -7x) + 9 = -7(x + -7) + -1(6x + 9) + 7

Reorder the terms:
5 + 3 + 9 + -4x + -7x = -7(x + -7) + -1(6x + 9) + 7

Combine like terms: 5 + 3 = 8
8 + 9 + -4x + -7x = -7(x + -7) + -1(6x + 9) + 7

Combine like terms: 8 + 9 = 17
17 + -4x + -7x = -7(x + -7) + -1(6x + 9) + 7

Combine like terms: -4x + -7x = -11x
17 + -11x = -7(x + -7) + -1(6x + 9) + 7

Reorder the terms:
17 + -11x = -7(-7 + x) + -1(6x + 9) + 7
17 + -11x = (-7 * -7 + x * -7) + -1(6x + 9) + 7
17 + -11x = (49 + -7x) + -1(6x + 9) + 7

Reorder the terms:
17 + -11x = 49 + -7x + -1(9 + 6x) + 7
17 + -11x = 49 + -7x + (9 * -1 + 6x * -1) + 7
17 + -11x = 49 + -7x + (-9 + -6x) + 7

Reorder the terms:
17 + -11x = 49 + -9 + 7 + -7x + -6x

Combine like terms: 49 + -9 = 40
17 + -11x = 40 + 7 + -7x + -6x

Combine like terms: 40 + 7 = 47
17 + -11x = 47 + -7x + -6x

Combine like terms: -7x + -6x = -13x
17 + -11x = 47 + -13x

Solving
17 + -11x = 47 + -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.
17 + -11x + 13x = 47 + -13x + 13x

Combine like terms: -11x + 13x = 2x
17 + 2x = 47 + -13x + 13x

Combine like terms: -13x + 13x = 0
17 + 2x = 47 + 0
17 + 2x = 47

Add '-17' to each side of the equation.
17 + -17 + 2x = 47 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 47 + -17
2x = 47 + -17

Combine like terms: 47 + -17 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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