Solve (3x+2)/(3)=(6x-2)/(5) | 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

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

Solve for x

$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$

Steps for Solving Linear Equation

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

$$5\left(3x+2\right)=3\left(6x-2\right)$$

Use the distributive property to multiply $5$ by $3x+2$.

$$15x+10=3\left(6x-2\right)$$

Use the distributive property to multiply $3$ by $6x-2$.

$$15x+10=18x-6$$

Subtract $18x$ from both sides.

$$15x+10-18x=-6$$

Combine $15x$ and $-18x$ to get $-3x$.

$$-3x+10=-6$$

Subtract $10$ from both sides.

$$-3x=-6-10$$

Subtract $10$ from $-6$ to get $-16$.

$$-3x=-16$$

Divide both sides by $-3$.

$$x=\frac{-16}{-3}$$

Fraction $\frac{-16}{-3}$ can be simplified to $\frac{16}{3}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{3}$$