-4(-4x+3)-x=3(x-9)-1

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Solution for -4(-4x+3)-x=3(x-9)-1 equation:


Simplifying
-4(-4x + 3) + -1x = 3(x + -9) + -1

Reorder the terms:
-4(3 + -4x) + -1x = 3(x + -9) + -1
(3 * -4 + -4x * -4) + -1x = 3(x + -9) + -1
(-12 + 16x) + -1x = 3(x + -9) + -1

Combine like terms: 16x + -1x = 15x
-12 + 15x = 3(x + -9) + -1

Reorder the terms:
-12 + 15x = 3(-9 + x) + -1
-12 + 15x = (-9 * 3 + x * 3) + -1
-12 + 15x = (-27 + 3x) + -1

Reorder the terms:
-12 + 15x = -27 + -1 + 3x

Combine like terms: -27 + -1 = -28
-12 + 15x = -28 + 3x

Solving
-12 + 15x = -28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 15x + -3x = -28 + 3x + -3x

Combine like terms: 15x + -3x = 12x
-12 + 12x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 12x = -28 + 0
-12 + 12x = -28

Add '12' to each side of the equation.
-12 + 12 + 12x = -28 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = -28 + 12
12x = -28 + 12

Combine like terms: -28 + 12 = -16
12x = -16

Divide each side by '12'.
x = -1.333333333

Simplifying
x = -1.333333333

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