-(2x-9)-(6x-4)+5=-9(x-7)-(6x+3)+7

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Solution for -(2x-9)-(6x-4)+5=-9(x-7)-(6x+3)+7 equation:


Simplifying
-1(2x + -9) + -1(6x + -4) + 5 = -9(x + -7) + -1(6x + 3) + 7

Reorder the terms:
-1(-9 + 2x) + -1(6x + -4) + 5 = -9(x + -7) + -1(6x + 3) + 7
(-9 * -1 + 2x * -1) + -1(6x + -4) + 5 = -9(x + -7) + -1(6x + 3) + 7
(9 + -2x) + -1(6x + -4) + 5 = -9(x + -7) + -1(6x + 3) + 7

Reorder the terms:
9 + -2x + -1(-4 + 6x) + 5 = -9(x + -7) + -1(6x + 3) + 7
9 + -2x + (-4 * -1 + 6x * -1) + 5 = -9(x + -7) + -1(6x + 3) + 7
9 + -2x + (4 + -6x) + 5 = -9(x + -7) + -1(6x + 3) + 7

Reorder the terms:
9 + 4 + 5 + -2x + -6x = -9(x + -7) + -1(6x + 3) + 7

Combine like terms: 9 + 4 = 13
13 + 5 + -2x + -6x = -9(x + -7) + -1(6x + 3) + 7

Combine like terms: 13 + 5 = 18
18 + -2x + -6x = -9(x + -7) + -1(6x + 3) + 7

Combine like terms: -2x + -6x = -8x
18 + -8x = -9(x + -7) + -1(6x + 3) + 7

Reorder the terms:
18 + -8x = -9(-7 + x) + -1(6x + 3) + 7
18 + -8x = (-7 * -9 + x * -9) + -1(6x + 3) + 7
18 + -8x = (63 + -9x) + -1(6x + 3) + 7

Reorder the terms:
18 + -8x = 63 + -9x + -1(3 + 6x) + 7
18 + -8x = 63 + -9x + (3 * -1 + 6x * -1) + 7
18 + -8x = 63 + -9x + (-3 + -6x) + 7

Reorder the terms:
18 + -8x = 63 + -3 + 7 + -9x + -6x

Combine like terms: 63 + -3 = 60
18 + -8x = 60 + 7 + -9x + -6x

Combine like terms: 60 + 7 = 67
18 + -8x = 67 + -9x + -6x

Combine like terms: -9x + -6x = -15x
18 + -8x = 67 + -15x

Solving
18 + -8x = 67 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
18 + -8x + 15x = 67 + -15x + 15x

Combine like terms: -8x + 15x = 7x
18 + 7x = 67 + -15x + 15x

Combine like terms: -15x + 15x = 0
18 + 7x = 67 + 0
18 + 7x = 67

Add '-18' to each side of the equation.
18 + -18 + 7x = 67 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 67 + -18
7x = 67 + -18

Combine like terms: 67 + -18 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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