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

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

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

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

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

Add 2 and 2 to get 4.

$$4-2x=3\left(1+x\right)$$

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

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

Subtract 3x from both sides.

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

Combine -2x and -3x to get -5x.

$$4-5x=3$$

Subtract 4 from both sides.

$$-5x=3-4$$

Subtract 4 from 3 to get -1.

$$-5x=-1$$

Divide both sides by -5.

$$x=\frac{-1}{-5}$$

Fraction \frac{-1}{-5} can be simplified to \frac{1}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{5}$$