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

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


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

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

Reorder the terms:
8 + 4x + -5(1 + 2x) = 3(-3x + -4)
8 + 4x + (1 * -5 + 2x * -5) = 3(-3x + -4)
8 + 4x + (-5 + -10x) = 3(-3x + -4)

Reorder the terms:
8 + -5 + 4x + -10x = 3(-3x + -4)

Combine like terms: 8 + -5 = 3
3 + 4x + -10x = 3(-3x + -4)

Combine like terms: 4x + -10x = -6x
3 + -6x = 3(-3x + -4)

Reorder the terms:
3 + -6x = 3(-4 + -3x)
3 + -6x = (-4 * 3 + -3x * 3)
3 + -6x = (-12 + -9x)

Solving
3 + -6x = -12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
3 + -6x + 9x = -12 + -9x + 9x

Combine like terms: -6x + 9x = 3x
3 + 3x = -12 + -9x + 9x

Combine like terms: -9x + 9x = 0
3 + 3x = -12 + 0
3 + 3x = -12

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

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

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

Divide each side by '3'.
x = -5

Simplifying
x = -5

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