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

$$2 x - \frac { 2 } { 3 } ( x + 3 ) = - x + 3$$

Solve for x

$$x = \frac{15}{7} = 2\frac{1}{7} \approx 2.142857143$$

Steps for Solving Linear Equation

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

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

Cancel out 3 and 3.

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

Combine 2x and -\frac{2}{3}x to get \frac{4}{3}x.

$$\frac{4}{3}x-2=-x+3$$

Add x to both sides.

$$\frac{4}{3}x-2+x=3$$

Combine \frac{4}{3}x and x to get \frac{7}{3}x.

$$\frac{7}{3}x-2=3$$

Add 2 to both sides.

$$\frac{7}{3}x=3+2$$

Add 3 and 2 to get 5.

$$\frac{7}{3}x=5$$

Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.

$$x=5\times \frac{3}{7}$$

Express 5\times \frac{3}{7} as a single fraction.

$$x=\frac{5\times 3}{7}$$

Multiply 5 and 3 to get 15.

$$x=\frac{15}{7}$$