-3(4x-6)+5x=-(9-2x)+7(-8x-1)

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Solution for -3(4x-6)+5x=-(9-2x)+7(-8x-1) equation:


Simplifying
-3(4x + -6) + 5x = -1(9 + -2x) + 7(-8x + -1)

Reorder the terms:
-3(-6 + 4x) + 5x = -1(9 + -2x) + 7(-8x + -1)
(-6 * -3 + 4x * -3) + 5x = -1(9 + -2x) + 7(-8x + -1)
(18 + -12x) + 5x = -1(9 + -2x) + 7(-8x + -1)

Combine like terms: -12x + 5x = -7x
18 + -7x = -1(9 + -2x) + 7(-8x + -1)
18 + -7x = (9 * -1 + -2x * -1) + 7(-8x + -1)
18 + -7x = (-9 + 2x) + 7(-8x + -1)

Reorder the terms:
18 + -7x = -9 + 2x + 7(-1 + -8x)
18 + -7x = -9 + 2x + (-1 * 7 + -8x * 7)
18 + -7x = -9 + 2x + (-7 + -56x)

Reorder the terms:
18 + -7x = -9 + -7 + 2x + -56x

Combine like terms: -9 + -7 = -16
18 + -7x = -16 + 2x + -56x

Combine like terms: 2x + -56x = -54x
18 + -7x = -16 + -54x

Solving
18 + -7x = -16 + -54x

Solving for variable 'x'.

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

Add '54x' to each side of the equation.
18 + -7x + 54x = -16 + -54x + 54x

Combine like terms: -7x + 54x = 47x
18 + 47x = -16 + -54x + 54x

Combine like terms: -54x + 54x = 0
18 + 47x = -16 + 0
18 + 47x = -16

Add '-18' to each side of the equation.
18 + -18 + 47x = -16 + -18

Combine like terms: 18 + -18 = 0
0 + 47x = -16 + -18
47x = -16 + -18

Combine like terms: -16 + -18 = -34
47x = -34

Divide each side by '47'.
x = -0.7234042553

Simplifying
x = -0.7234042553

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