Solve x/9 - 3/5 = x/3 + 7/2 | 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

$$\frac{x}{9}-\frac{3}{5}=\frac{x}{3}+\frac{7}{2}$$

Solve for x

$x = -\frac{369}{20} = -18\frac{9}{20} = -18.45$

Steps for Solving Linear Equation

Multiply both sides of the equation by $90$, the least common multiple of $9,5,3,2$.

$$10x-54=30x+315$$

Subtract $30x$ from both sides.

$$10x-54-30x=315$$

Combine $10x$ and $-30x$ to get $-20x$.

$$-20x-54=315$$

Add $54$ to both sides.

$$-20x=315+54$$

Add $315$ and $54$ to get $369$.

$$-20x=369$$

Divide both sides by $-20$.

$$x=\frac{369}{-20}$$

Fraction $\frac{369}{-20}$ can be rewritten as $-\frac{369}{20}$ by extracting the negative sign.

$$x=-\frac{369}{20}$$