7-2(4x+6)-4(1-5x)-23x=9x-(3-2x)+1-3(6x-7)

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Solution for 7-2(4x+6)-4(1-5x)-23x=9x-(3-2x)+1-3(6x-7) equation:


Simplifying
7 + -2(4x + 6) + -4(1 + -5x) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Reorder the terms:
7 + -2(6 + 4x) + -4(1 + -5x) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)
7 + (6 * -2 + 4x * -2) + -4(1 + -5x) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)
7 + (-12 + -8x) + -4(1 + -5x) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)
7 + -12 + -8x + (1 * -4 + -5x * -4) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)
7 + -12 + -8x + (-4 + 20x) + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Reorder the terms:
7 + -12 + -4 + -8x + 20x + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Combine like terms: 7 + -12 = -5
-5 + -4 + -8x + 20x + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Combine like terms: -5 + -4 = -9
-9 + -8x + 20x + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Combine like terms: -8x + 20x = 12x
-9 + 12x + -23x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)

Combine like terms: 12x + -23x = -11x
-9 + -11x = 9x + -1(3 + -2x) + 1 + -3(6x + -7)
-9 + -11x = 9x + (3 * -1 + -2x * -1) + 1 + -3(6x + -7)
-9 + -11x = 9x + (-3 + 2x) + 1 + -3(6x + -7)

Reorder the terms:
-9 + -11x = 9x + -3 + 2x + 1 + -3(-7 + 6x)
-9 + -11x = 9x + -3 + 2x + 1 + (-7 * -3 + 6x * -3)
-9 + -11x = 9x + -3 + 2x + 1 + (21 + -18x)

Reorder the terms:
-9 + -11x = -3 + 1 + 21 + 9x + 2x + -18x

Combine like terms: -3 + 1 = -2
-9 + -11x = -2 + 21 + 9x + 2x + -18x

Combine like terms: -2 + 21 = 19
-9 + -11x = 19 + 9x + 2x + -18x

Combine like terms: 9x + 2x = 11x
-9 + -11x = 19 + 11x + -18x

Combine like terms: 11x + -18x = -7x
-9 + -11x = 19 + -7x

Solving
-9 + -11x = 19 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-9 + -11x + 7x = 19 + -7x + 7x

Combine like terms: -11x + 7x = -4x
-9 + -4x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + -4x = 19 + 0
-9 + -4x = 19

Add '9' to each side of the equation.
-9 + 9 + -4x = 19 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 19 + 9
-4x = 19 + 9

Combine like terms: 19 + 9 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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