Solve 2(1-x)=3(1+2x)+5

$$2(1-x)=3(1+2x)+5$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 1-x.

$$2-2x=3\left(1+2x\right)+5$$

Use the distributive property to multiply 3 by 1+2x.

$$2-2x=3+6x+5$$

Add 3 and 5 to get 8.

$$2-2x=8+6x$$

Subtract 6x from both sides.

$$2-2x-6x=8$$

Combine -2x and -6x to get -8x.

$$2-8x=8$$

Subtract 2 from both sides.

$$-8x=8-2$$

Subtract 2 from 8 to get 6.

$$-8x=6$$

Divide both sides by -8.

$$x=\frac{6}{-8}$$

Reduce the fraction \frac{6}{-8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{4}$$