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

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

Solve for x

$$x=-\frac{18}{23}\approx -0.782608696$$

Steps for Solving Linear Equation

To find the opposite of -2x+1, find the opposite of each term.

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

The opposite of -2x is 2x.

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

Use the distributive property to multiply 5 by 4x+4.

$$2x-1+20x+20=-x+1$$

Combine 2x and 20x to get 22x.

$$22x-1+20=-x+1$$

Add -1 and 20 to get 19.

$$22x+19=-x+1$$

Add x to both sides.

$$22x+19+x=1$$

Combine 22x and x to get 23x.

$$23x+19=1$$

Subtract 19 from both sides.

$$23x=1-19$$

Subtract 19 from 1 to get -18.

$$23x=-18$$

Divide both sides by 23.

$$x=\frac{-18}{23}$$

Fraction \frac{-18}{23} can be rewritten as -\frac{18}{23} by extracting the negative sign.

$$x=-\frac{18}{23}$$