4(3x-2)+11=-13-4(2x+1)

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Solution for 4(3x-2)+11=-13-4(2x+1) equation:


Simplifying
4(3x + -2) + 11 = -13 + -4(2x + 1)

Reorder the terms:
4(-2 + 3x) + 11 = -13 + -4(2x + 1)
(-2 * 4 + 3x * 4) + 11 = -13 + -4(2x + 1)
(-8 + 12x) + 11 = -13 + -4(2x + 1)

Reorder the terms:
-8 + 11 + 12x = -13 + -4(2x + 1)

Combine like terms: -8 + 11 = 3
3 + 12x = -13 + -4(2x + 1)

Reorder the terms:
3 + 12x = -13 + -4(1 + 2x)
3 + 12x = -13 + (1 * -4 + 2x * -4)
3 + 12x = -13 + (-4 + -8x)

Combine like terms: -13 + -4 = -17
3 + 12x = -17 + -8x

Solving
3 + 12x = -17 + -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.
3 + 12x + 8x = -17 + -8x + 8x

Combine like terms: 12x + 8x = 20x
3 + 20x = -17 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 20x = -17 + 0
3 + 20x = -17

Add '-3' to each side of the equation.
3 + -3 + 20x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + 20x = -17 + -3
20x = -17 + -3

Combine like terms: -17 + -3 = -20
20x = -20

Divide each side by '20'.
x = -1

Simplifying
x = -1

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