Solve 33/2=5/84x-3/6

$$3 \frac { 3 } { 2 } = \frac { 5 } { 8 } \frac { 4 x - 3 } { 6 }$$

Solve for x

$$x = \frac{231}{20} = 11\frac{11}{20} = 11.55$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 2,8,6.

$$12\left(3\times 2+3\right)=\frac{5}{2}\left(4x-3\right)$$

Multiply 3 and 2 to get 6.

$$12\left(6+3\right)=\frac{5}{2}\left(4x-3\right)$$

Add 6 and 3 to get 9.

$$12\times 9=\frac{5}{2}\left(4x-3\right)$$

Multiply 12 and 9 to get 108.

$$108=\frac{5}{2}\left(4x-3\right)$$

Use the distributive property to multiply \frac{5}{2} by 4x-3.

$$108=\frac{5}{2}\times 4x+\frac{5}{2}\left(-3\right)$$

Express \frac{5}{2}\times 4 as a single fraction.

$$108=\frac{5\times 4}{2}x+\frac{5}{2}\left(-3\right)$$

Multiply 5 and 4 to get 20.

$$108=\frac{20}{2}x+\frac{5}{2}\left(-3\right)$$

Divide 20 by 2 to get 10.

$$108=10x+\frac{5}{2}\left(-3\right)$$

Express \frac{5}{2}\left(-3\right) as a single fraction.

$$108=10x+\frac{5\left(-3\right)}{2}$$

Multiply 5 and -3 to get -15.

$$108=10x+\frac{-15}{2}$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$108=10x-\frac{15}{2}$$

Swap sides so that all variable terms are on the left hand side.

$$10x-\frac{15}{2}=108$$

Add \frac{15}{2} to both sides.

$$10x=108+\frac{15}{2}$$

Convert 108 to fraction \frac{216}{2}.

$$10x=\frac{216}{2}+\frac{15}{2}$$

Since \frac{216}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$10x=\frac{216+15}{2}$$

Add 216 and 15 to get 231.

$$10x=\frac{231}{2}$$

Divide both sides by 10.

$$x=\frac{\frac{231}{2}}{10}$$

Express \frac{\frac{231}{2}}{10} as a single fraction.

$$x=\frac{231}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$x=\frac{231}{20}$$