Solve 4/3(1-x)=3/2

$$\frac { 4 } { 3 } ( 1 - x ) = \frac { 3 } { 2 }$$

Solve for x

$$x=-\frac{1}{8}=-0.125$$

Steps for Solving Linear Equation

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

$$1-x=\frac{3}{2}\times \frac{3}{4}$$

Multiply \frac{3}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$1-x=\frac{3\times 3}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 3}{2\times 4}.

$$1-x=\frac{9}{8}$$

Subtract 1 from both sides.

$$-x=\frac{9}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$-x=\frac{9}{8}-\frac{8}{8}$$

Since \frac{9}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{9-8}{8}$$

Subtract 8 from 9 to get 1.

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

Multiply both sides by -1.

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