Solve 4/3(x-2)=4-3

$$\frac { 4 } { 3 } ( x - 2 ) = 4 - 3$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{3} by x-2.

$$\frac{4}{3}x+\frac{4}{3}\left(-2\right)=4-3$$

Express \frac{4}{3}\left(-2\right) as a single fraction.

$$\frac{4}{3}x+\frac{4\left(-2\right)}{3}=4-3$$

Multiply 4 and -2 to get -8.

$$\frac{4}{3}x+\frac{-8}{3}=4-3$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$\frac{4}{3}x-\frac{8}{3}=4-3$$

Subtract 3 from 4 to get 1.

$$\frac{4}{3}x-\frac{8}{3}=1$$

Add \frac{8}{3} to both sides.

$$\frac{4}{3}x=1+\frac{8}{3}$$

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

$$\frac{4}{3}x=\frac{3}{3}+\frac{8}{3}$$

Since \frac{3}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{4}{3}x=\frac{3+8}{3}$$

Add 3 and 8 to get 11.

$$\frac{4}{3}x=\frac{11}{3}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=\frac{11}{3}\times \frac{3}{4}$$

Multiply \frac{11}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{11}{4}$$