Solve 8(1-x)=6(1+2x)+4

$$8 ( 1 - x ) = 6 ( 1 + 2 x ) + 4$$

Solve for x

$$x=-\frac{1}{10}=-0.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 1-x.

$$8-8x=6\left(1+2x\right)+4$$

Use the distributive property to multiply 6 by 1+2x.

$$8-8x=6+12x+4$$

Add 6 and 4 to get 10.

$$8-8x=10+12x$$

Subtract 12x from both sides.

$$8-8x-12x=10$$

Combine -8x and -12x to get -20x.

$$8-20x=10$$

Subtract 8 from both sides.

$$-20x=10-8$$

Subtract 8 from 10 to get 2.

$$-20x=2$$

Divide both sides by -20.

$$x=\frac{2}{-20}$$

Reduce the fraction \frac{2}{-20} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{10}$$