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

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


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

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

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

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

Combine like terms: 7 + 9 = 16
16 + 7 + -4x + -2x = -9(x + -5) + -1(6x + 9) + 3

Combine like terms: 16 + 7 = 23
23 + -4x + -2x = -9(x + -5) + -1(6x + 9) + 3

Combine like terms: -4x + -2x = -6x
23 + -6x = -9(x + -5) + -1(6x + 9) + 3

Reorder the terms:
23 + -6x = -9(-5 + x) + -1(6x + 9) + 3
23 + -6x = (-5 * -9 + x * -9) + -1(6x + 9) + 3
23 + -6x = (45 + -9x) + -1(6x + 9) + 3

Reorder the terms:
23 + -6x = 45 + -9x + -1(9 + 6x) + 3
23 + -6x = 45 + -9x + (9 * -1 + 6x * -1) + 3
23 + -6x = 45 + -9x + (-9 + -6x) + 3

Reorder the terms:
23 + -6x = 45 + -9 + 3 + -9x + -6x

Combine like terms: 45 + -9 = 36
23 + -6x = 36 + 3 + -9x + -6x

Combine like terms: 36 + 3 = 39
23 + -6x = 39 + -9x + -6x

Combine like terms: -9x + -6x = -15x
23 + -6x = 39 + -15x

Solving
23 + -6x = 39 + -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.
23 + -6x + 15x = 39 + -15x + 15x

Combine like terms: -6x + 15x = 9x
23 + 9x = 39 + -15x + 15x

Combine like terms: -15x + 15x = 0
23 + 9x = 39 + 0
23 + 9x = 39

Add '-23' to each side of the equation.
23 + -23 + 9x = 39 + -23

Combine like terms: 23 + -23 = 0
0 + 9x = 39 + -23
9x = 39 + -23

Combine like terms: 39 + -23 = 16
9x = 16

Divide each side by '9'.
x = 1.777777778

Simplifying
x = 1.777777778

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