Solve 3x+[-5x-(x+3)]=8x+(-5x-4)

$$3 x + [ - 5 x - ( x + 3 ) ] = 8 x + ( - 5 x - 4 )$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Combine 3x and -5x to get -2x.

$$-2x-\left(x+3\right)=8x-5x-4$$

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

$$-2x-x-3=8x-5x-4$$

Combine -2x and -x to get -3x.

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

Combine 8x and -5x to get 3x.

$$-3x-3=3x-4$$

Subtract 3x from both sides.

$$-3x-3-3x=-4$$

Combine -3x and -3x to get -6x.

$$-6x-3=-4$$

Add 3 to both sides.

$$-6x=-4+3$$

Add -4 and 3 to get -1.

$$-6x=-1$$

Divide both sides by -6.

$$x=\frac{-1}{-6}$$

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{6}$$