5(3x-1)+x=-4(2x+4)

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Solution for 5(3x-1)+x=-4(2x+4) equation:


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

Reorder the terms:
5(-1 + 3x) + x = -4(2x + 4)
(-1 * 5 + 3x * 5) + x = -4(2x + 4)
(-5 + 15x) + x = -4(2x + 4)

Combine like terms: 15x + x = 16x
-5 + 16x = -4(2x + 4)

Reorder the terms:
-5 + 16x = -4(4 + 2x)
-5 + 16x = (4 * -4 + 2x * -4)
-5 + 16x = (-16 + -8x)

Solving
-5 + 16x = -16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + 16x + 8x = -16 + -8x + 8x

Combine like terms: 16x + 8x = 24x
-5 + 24x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + 24x = -16 + 0
-5 + 24x = -16

Add '5' to each side of the equation.
-5 + 5 + 24x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 24x = -16 + 5
24x = -16 + 5

Combine like terms: -16 + 5 = -11
24x = -11

Divide each side by '24'.
x = -0.4583333333

Simplifying
x = -0.4583333333

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