Solve (5x)/3 + 9/5 = (7x)/6 + 3/16 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{5x}{3}+\frac{9}{5}=\frac{7x}{6}+\frac{3}{16}$$

Solve for x

$x = -\frac{129}{40} = -3\frac{9}{40} = -3.225$

Steps for Solving Linear Equation

Multiply both sides of the equation by $240$, the least common multiple of $3,5,6,16$.

$$80\times 5x+432=40\times 7x+45$$

Multiply $80$ and $5$ to get $400$.

$$400x+432=40\times 7x+45$$

Multiply $40$ and $7$ to get $280$.

$$400x+432=280x+45$$

Subtract $280x$ from both sides.

$$400x+432-280x=45$$

Combine $400x$ and $-280x$ to get $120x$.

$$120x+432=45$$

Subtract $432$ from both sides.

$$120x=45-432$$

Subtract $432$ from $45$ to get $-387$.

$$120x=-387$$

Divide both sides by $120$.

$$x=\frac{-387}{120}$$

Reduce the fraction $\frac{-387}{120}$ to lowest terms by extracting and canceling out $3$.

$$x=-\frac{129}{40}$$