Solve (5x+3)-(3x-7)-10x-6=0

$$( 5 x + 3 ) - ( 3 x - 7 ) - 10 x - 6 = 0$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

To find the opposite of 3x-7, find the opposite of each term.

$$5x+3-3x-\left(-7\right)-10x-6=0$$

The opposite of -7 is 7.

$$5x+3-3x+7-10x-6=0$$

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

$$2x+3+7-10x-6=0$$

Add 3 and 7 to get 10.

$$2x+10-10x-6=0$$

Combine 2x and -10x to get -8x.

$$-8x+10-6=0$$

Subtract 6 from 10 to get 4.

$$-8x+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-8x=-4$$

Divide both sides by -8.

$$x=\frac{-4}{-8}$$

Reduce the fraction \frac{-4}{-8} to lowest terms by extracting and canceling out -4.

$$x=\frac{1}{2}$$