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

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

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.

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

Combine x and -2x to get -x.

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

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

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

Subtract 4 from 1 to get -3.

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

Add 4x to both sides.

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

Combine -x and 4x to get 3x.

$$3x+2=-3$$

Subtract 2 from both sides.

$$3x=-3-2$$

Subtract 2 from -3 to get -5.

$$3x=-5$$

Divide both sides by 3.

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

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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