-(4x-8)-(2x-3)+7=-4(x-9)-(9x+9)+6

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Solution for -(4x-8)-(2x-3)+7=-4(x-9)-(9x+9)+6 equation:


Simplifying
-1(4x + -8) + -1(2x + -3) + 7 = -4(x + -9) + -1(9x + 9) + 6

Reorder the terms:
-1(-8 + 4x) + -1(2x + -3) + 7 = -4(x + -9) + -1(9x + 9) + 6
(-8 * -1 + 4x * -1) + -1(2x + -3) + 7 = -4(x + -9) + -1(9x + 9) + 6
(8 + -4x) + -1(2x + -3) + 7 = -4(x + -9) + -1(9x + 9) + 6

Reorder the terms:
8 + -4x + -1(-3 + 2x) + 7 = -4(x + -9) + -1(9x + 9) + 6
8 + -4x + (-3 * -1 + 2x * -1) + 7 = -4(x + -9) + -1(9x + 9) + 6
8 + -4x + (3 + -2x) + 7 = -4(x + -9) + -1(9x + 9) + 6

Reorder the terms:
8 + 3 + 7 + -4x + -2x = -4(x + -9) + -1(9x + 9) + 6

Combine like terms: 8 + 3 = 11
11 + 7 + -4x + -2x = -4(x + -9) + -1(9x + 9) + 6

Combine like terms: 11 + 7 = 18
18 + -4x + -2x = -4(x + -9) + -1(9x + 9) + 6

Combine like terms: -4x + -2x = -6x
18 + -6x = -4(x + -9) + -1(9x + 9) + 6

Reorder the terms:
18 + -6x = -4(-9 + x) + -1(9x + 9) + 6
18 + -6x = (-9 * -4 + x * -4) + -1(9x + 9) + 6
18 + -6x = (36 + -4x) + -1(9x + 9) + 6

Reorder the terms:
18 + -6x = 36 + -4x + -1(9 + 9x) + 6
18 + -6x = 36 + -4x + (9 * -1 + 9x * -1) + 6
18 + -6x = 36 + -4x + (-9 + -9x) + 6

Reorder the terms:
18 + -6x = 36 + -9 + 6 + -4x + -9x

Combine like terms: 36 + -9 = 27
18 + -6x = 27 + 6 + -4x + -9x

Combine like terms: 27 + 6 = 33
18 + -6x = 33 + -4x + -9x

Combine like terms: -4x + -9x = -13x
18 + -6x = 33 + -13x

Solving
18 + -6x = 33 + -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.
18 + -6x + 13x = 33 + -13x + 13x

Combine like terms: -6x + 13x = 7x
18 + 7x = 33 + -13x + 13x

Combine like terms: -13x + 13x = 0
18 + 7x = 33 + 0
18 + 7x = 33

Add '-18' to each side of the equation.
18 + -18 + 7x = 33 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 33 + -18
7x = 33 + -18

Combine like terms: 33 + -18 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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