Solve -(5x+6)+(-8+3x)=30x-(x+6)+(-5x+4)

$$-(5x+6)+(-8+3x)=30x-(x+6)+(-5x+4)$$

Solve for x

$$x=-\frac{6}{13}\approx -0.461538462$$

Steps for Solving Linear Equation

To find the opposite of 5x+6, find the opposite of each term.

$$-5x-6-8+3x=30x-\left(x+6\right)-5x+4$$

Subtract 8 from -6 to get -14.

$$-5x-14+3x=30x-\left(x+6\right)-5x+4$$

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

$$-2x-14=30x-\left(x+6\right)-5x+4$$

To find the opposite of x+6, find the opposite of each term.

$$-2x-14=30x-x-6-5x+4$$

Combine 30x and -x to get 29x.

$$-2x-14=29x-6-5x+4$$

Combine 29x and -5x to get 24x.

$$-2x-14=24x-6+4$$

Add -6 and 4 to get -2.

$$-2x-14=24x-2$$

Subtract 24x from both sides.

$$-2x-14-24x=-2$$

Combine -2x and -24x to get -26x.

$$-26x-14=-2$$

Add 14 to both sides.

$$-26x=-2+14$$

Add -2 and 14 to get 12.

$$-26x=12$$

Divide both sides by -26.

$$x=\frac{12}{-26}$$

Reduce the fraction \frac{12}{-26} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6}{13}$$