6(x+4)=-(3x-5)

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Solution for 6(x+4)=-(3x-5) equation:


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

Reorder the terms:
6(4 + x) = -1(3x + -5)
(4 * 6 + x * 6) = -1(3x + -5)
(24 + 6x) = -1(3x + -5)

Reorder the terms:
24 + 6x = -1(-5 + 3x)
24 + 6x = (-5 * -1 + 3x * -1)
24 + 6x = (5 + -3x)

Solving
24 + 6x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
24 + 6x + 3x = 5 + -3x + 3x

Combine like terms: 6x + 3x = 9x
24 + 9x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + 9x = 5 + 0
24 + 9x = 5

Add '-24' to each side of the equation.
24 + -24 + 9x = 5 + -24

Combine like terms: 24 + -24 = 0
0 + 9x = 5 + -24
9x = 5 + -24

Combine like terms: 5 + -24 = -19
9x = -19

Divide each side by '9'.
x = -2.111111111

Simplifying
x = -2.111111111

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