Solve 3x+5=5x-(x+3)-8x+(-5x-9)

$$3 x + 5 = 5 x - ( x + 3 ) - 8 x + ( - 5 x - 9 )$$

Solve for x

$$x = -\frac{17}{12} = -1\frac{5}{12} \approx -1.416666667$$

Steps for Solving Linear Equation

To find the opposite of x+3, find the opposite of each term.

$$3x+5=5x-x-3-8x-5x-9$$

Combine 5x and -x to get 4x.

$$3x+5=4x-3-8x-5x-9$$

Combine 4x and -8x to get -4x.

$$3x+5=-4x-3-5x-9$$

Combine -4x and -5x to get -9x.

$$3x+5=-9x-3-9$$

Subtract 9 from -3 to get -12.

$$3x+5=-9x-12$$

Add 9x to both sides.

$$3x+5+9x=-12$$

Combine 3x and 9x to get 12x.

$$12x+5=-12$$

Subtract 5 from both sides.

$$12x=-12-5$$

Subtract 5 from -12 to get -17.

$$12x=-17$$

Divide both sides by 12.

$$x=\frac{-17}{12}$$

Fraction \frac{-17}{12} can be rewritten as -\frac{17}{12} by extracting the negative sign.

$$x=-\frac{17}{12}$$