Solve (3x - 1)/5 = (x - 1)/3 | 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

$$\frac{3x-1}{5}=\frac{x-1}{3}$$

Solve for x

$x=-\frac{1}{2}=-0.5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $5,3$.

$$3\left(3x-1\right)=5\left(x-1\right)$$

Use the distributive property to multiply $3$ by $3x-1$.

$$9x-3=5\left(x-1\right)$$

Use the distributive property to multiply $5$ by $x-1$.

$$9x-3=5x-5$$

Subtract $5x$ from both sides.

$$9x-3-5x=-5$$

Combine $9x$ and $-5x$ to get $4x$.

$$4x-3=-5$$

Add $3$ to both sides.

$$4x=-5+3$$

Add $-5$ and $3$ to get $-2$.

$$4x=-2$$

Divide both sides by $4$.

$$x=\frac{-2}{4}$$

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

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