Solve 4(2-x)+1=2x+2-5(1-4x)

$$4 ( 2 - x ) + 1 = 2 x + 2 - 5 ( 1 - 4 x )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2-x.

$$8-4x+1=2x+2-5\left(1-4x\right)$$

Add 8 and 1 to get 9.

$$9-4x=2x+2-5\left(1-4x\right)$$

Use the distributive property to multiply -5 by 1-4x.

$$9-4x=2x+2-5+20x$$

Subtract 5 from 2 to get -3.

$$9-4x=2x-3+20x$$

Combine 2x and 20x to get 22x.

$$9-4x=22x-3$$

Subtract 22x from both sides.

$$9-4x-22x=-3$$

Combine -4x and -22x to get -26x.

$$9-26x=-3$$

Subtract 9 from both sides.

$$-26x=-3-9$$

Subtract 9 from -3 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.

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