Solve 3(m-3/4*2/3)+3/2*2/3=5m

$$3 ( m - \frac { 3 } { 4 } \times \frac { 2 } { 3 } ) + \frac { 3 } { 2 } \times \frac { 2 } { 3 } = 5 m$$

Solve for m

$$m=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

$$3\left(m-\frac{3\times 2}{4\times 3}\right)+\frac{3}{2}\times \frac{2}{3}=5m$$

Cancel out 3 in both numerator and denominator.

$$3\left(m-\frac{2}{4}\right)+\frac{3}{2}\times \frac{2}{3}=5m$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$3\left(m-\frac{1}{2}\right)+\frac{3}{2}\times \frac{2}{3}=5m$$

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

$$3m+3\left(-\frac{1}{2}\right)+\frac{3}{2}\times \frac{2}{3}=5m$$

Express 3\left(-\frac{1}{2}\right) as a single fraction.

$$3m+\frac{3\left(-1\right)}{2}+\frac{3}{2}\times \frac{2}{3}=5m$$

Multiply 3 and -1 to get -3.

$$3m+\frac{-3}{2}+\frac{3}{2}\times \frac{2}{3}=5m$$

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$3m-\frac{3}{2}+\frac{3}{2}\times \frac{2}{3}=5m$$

Cancel out \frac{3}{2} and its reciprocal \frac{2}{3}.

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

Convert 1 to fraction \frac{2}{2}.

$$3m-\frac{3}{2}+\frac{2}{2}=5m$$

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

$$3m+\frac{-3+2}{2}=5m$$

Add -3 and 2 to get -1.

$$3m-\frac{1}{2}=5m$$

Subtract 5m from both sides.

$$3m-\frac{1}{2}-5m=0$$

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

$$-2m-\frac{1}{2}=0$$

Add \frac{1}{2} to both sides. Anything plus zero gives itself.

$$-2m=\frac{1}{2}$$

Divide both sides by -2.

$$m=\frac{\frac{1}{2}}{-2}$$

Express \frac{\frac{1}{2}}{-2} as a single fraction.

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

Multiply 2 and -2 to get -4.

$$m=\frac{1}{-4}$$

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$m=-\frac{1}{4}$$