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

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


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

Reorder the terms:
3(-1 + 2x) + 5 = -2x + -3(x + 4)
(-1 * 3 + 2x * 3) + 5 = -2x + -3(x + 4)
(-3 + 6x) + 5 = -2x + -3(x + 4)

Reorder the terms:
-3 + 5 + 6x = -2x + -3(x + 4)

Combine like terms: -3 + 5 = 2
2 + 6x = -2x + -3(x + 4)

Reorder the terms:
2 + 6x = -2x + -3(4 + x)
2 + 6x = -2x + (4 * -3 + x * -3)
2 + 6x = -2x + (-12 + -3x)

Reorder the terms:
2 + 6x = -12 + -2x + -3x

Combine like terms: -2x + -3x = -5x
2 + 6x = -12 + -5x

Solving
2 + 6x = -12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 6x + 5x = -12 + -5x + 5x

Combine like terms: 6x + 5x = 11x
2 + 11x = -12 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 11x = -12 + 0
2 + 11x = -12

Add '-2' to each side of the equation.
2 + -2 + 11x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = -12 + -2
11x = -12 + -2

Combine like terms: -12 + -2 = -14
11x = -14

Divide each side by '11'.
x = -1.272727273

Simplifying
x = -1.272727273

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