6(2x+5)=-(x+4)

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Solution for 6(2x+5)=-(x+4) equation:


Simplifying
6(2x + 5) = -1(x + 4)

Reorder the terms:
6(5 + 2x) = -1(x + 4)
(5 * 6 + 2x * 6) = -1(x + 4)
(30 + 12x) = -1(x + 4)

Reorder the terms:
30 + 12x = -1(4 + x)
30 + 12x = (4 * -1 + x * -1)
30 + 12x = (-4 + -1x)

Solving
30 + 12x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
30 + 12x + x = -4 + -1x + x

Combine like terms: 12x + x = 13x
30 + 13x = -4 + -1x + x

Combine like terms: -1x + x = 0
30 + 13x = -4 + 0
30 + 13x = -4

Add '-30' to each side of the equation.
30 + -30 + 13x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + 13x = -4 + -30
13x = -4 + -30

Combine like terms: -4 + -30 = -34
13x = -34

Divide each side by '13'.
x = -2.615384615

Simplifying
x = -2.615384615

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