Solve 2 + (3x)/5 = 15 - (2x)/6 | 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

$$2+\frac{3x}{5}=15-\frac{2x}{6}$$

Solve for x

$x = \frac{195}{14} = 13\frac{13}{14} \approx 13.928571429$

Steps for Solving Linear Equation

Multiply both sides of the equation by $30$, the least common multiple of $5,6$.

$$60+6\times 3x=450-5\times 2x$$

Multiply $6$ and $3$ to get $18$.

$$60+18x=450-5\times 2x$$

Multiply $-5$ and $2$ to get $-10$.

$$60+18x=450-10x$$

Add $10x$ to both sides.

$$60+18x+10x=450$$

Combine $18x$ and $10x$ to get $28x$.

$$60+28x=450$$

Subtract $60$ from both sides.

$$28x=450-60$$

Subtract $60$ from $450$ to get $390$.

$$28x=390$$

Divide both sides by $28$.

$$x=\frac{390}{28}$$

Reduce the fraction $\frac{390}{28}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{195}{14}$$