Solve -2/3left(1-xright)=1-x

$$- \frac{ 2 }{ 3 } \left( 1-x \right) = 1-x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{3} by 1-x.

$$-\frac{2}{3}-\frac{2}{3}\left(-1\right)x=1-x$$

Multiply -\frac{2}{3} and -1 to get \frac{2}{3}.

$$-\frac{2}{3}+\frac{2}{3}x=1-x$$

Add x to both sides.

$$-\frac{2}{3}+\frac{2}{3}x+x=1$$

Combine \frac{2}{3}x and x to get \frac{5}{3}x.

$$-\frac{2}{3}+\frac{5}{3}x=1$$

Add \frac{2}{3} to both sides.

$$\frac{5}{3}x=1+\frac{2}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{5}{3}x=\frac{3}{3}+\frac{2}{3}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{5}{3}x=\frac{3+2}{3}$$

Add 3 and 2 to get 5.

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

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

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

Cancel out \frac{5}{3} and its reciprocal \frac{3}{5}.

$$x=1$$