4(3x+3)+5(2x+3)=-(2x+13)

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Solution for 4(3x+3)+5(2x+3)=-(2x+13) equation:


Simplifying
4(3x + 3) + 5(2x + 3) = -1(2x + 13)

Reorder the terms:
4(3 + 3x) + 5(2x + 3) = -1(2x + 13)
(3 * 4 + 3x * 4) + 5(2x + 3) = -1(2x + 13)
(12 + 12x) + 5(2x + 3) = -1(2x + 13)

Reorder the terms:
12 + 12x + 5(3 + 2x) = -1(2x + 13)
12 + 12x + (3 * 5 + 2x * 5) = -1(2x + 13)
12 + 12x + (15 + 10x) = -1(2x + 13)

Reorder the terms:
12 + 15 + 12x + 10x = -1(2x + 13)

Combine like terms: 12 + 15 = 27
27 + 12x + 10x = -1(2x + 13)

Combine like terms: 12x + 10x = 22x
27 + 22x = -1(2x + 13)

Reorder the terms:
27 + 22x = -1(13 + 2x)
27 + 22x = (13 * -1 + 2x * -1)
27 + 22x = (-13 + -2x)

Solving
27 + 22x = -13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
27 + 22x + 2x = -13 + -2x + 2x

Combine like terms: 22x + 2x = 24x
27 + 24x = -13 + -2x + 2x

Combine like terms: -2x + 2x = 0
27 + 24x = -13 + 0
27 + 24x = -13

Add '-27' to each side of the equation.
27 + -27 + 24x = -13 + -27

Combine like terms: 27 + -27 = 0
0 + 24x = -13 + -27
24x = -13 + -27

Combine like terms: -13 + -27 = -40
24x = -40

Divide each side by '24'.
x = -1.666666667

Simplifying
x = -1.666666667

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