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

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 2 and 5 to get 7.

$$7-2x=3\left(2x+1\right)$$

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

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

Subtract 6x from both sides.

$$7-2x-6x=3$$

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

$$7-8x=3$$

Subtract 7 from both sides.

$$-8x=3-7$$

Subtract 7 from 3 to get -4.

$$-8x=-4$$

Divide both sides by -8.

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

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

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