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

$$2 \times (x+1)-4(x-1)=x+1$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

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

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

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

$$2x+2-4x+4=x+1$$

Combine 2x and -4x to get -2x.

$$-2x+2+4=x+1$$

Add 2 and 4 to get 6.

$$-2x+6=x+1$$

Subtract x from both sides.

$$-2x+6-x=1$$

Combine -2x and -x to get -3x.

$$-3x+6=1$$

Subtract 6 from both sides.

$$-3x=1-6$$

Subtract 6 from 1 to get -5.

$$-3x=-5$$

Divide both sides by -3.

$$x=\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{3}$$