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

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


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

Reorder the terms:
-2(4 + x) + (3x + -5) + -1(4x + 1) = 2x + -5(2x + 3)
(4 * -2 + x * -2) + (3x + -5) + -1(4x + 1) = 2x + -5(2x + 3)
(-8 + -2x) + (3x + -5) + -1(4x + 1) = 2x + -5(2x + 3)

Reorder the terms:
-8 + -2x + (-5 + 3x) + -1(4x + 1) = 2x + -5(2x + 3)

Remove parenthesis around (-5 + 3x)
-8 + -2x + -5 + 3x + -1(4x + 1) = 2x + -5(2x + 3)

Reorder the terms:
-8 + -2x + -5 + 3x + -1(1 + 4x) = 2x + -5(2x + 3)
-8 + -2x + -5 + 3x + (1 * -1 + 4x * -1) = 2x + -5(2x + 3)
-8 + -2x + -5 + 3x + (-1 + -4x) = 2x + -5(2x + 3)

Reorder the terms:
-8 + -5 + -1 + -2x + 3x + -4x = 2x + -5(2x + 3)

Combine like terms: -8 + -5 = -13
-13 + -1 + -2x + 3x + -4x = 2x + -5(2x + 3)

Combine like terms: -13 + -1 = -14
-14 + -2x + 3x + -4x = 2x + -5(2x + 3)

Combine like terms: -2x + 3x = 1x
-14 + 1x + -4x = 2x + -5(2x + 3)

Combine like terms: 1x + -4x = -3x
-14 + -3x = 2x + -5(2x + 3)

Reorder the terms:
-14 + -3x = 2x + -5(3 + 2x)
-14 + -3x = 2x + (3 * -5 + 2x * -5)
-14 + -3x = 2x + (-15 + -10x)

Reorder the terms:
-14 + -3x = -15 + 2x + -10x

Combine like terms: 2x + -10x = -8x
-14 + -3x = -15 + -8x

Solving
-14 + -3x = -15 + -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.
-14 + -3x + 8x = -15 + -8x + 8x

Combine like terms: -3x + 8x = 5x
-14 + 5x = -15 + -8x + 8x

Combine like terms: -8x + 8x = 0
-14 + 5x = -15 + 0
-14 + 5x = -15

Add '14' to each side of the equation.
-14 + 14 + 5x = -15 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = -15 + 14
5x = -15 + 14

Combine like terms: -15 + 14 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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