Solve (4x)/(2)+(2)/(8)=(x)/(6)+(2)/(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

$$\frac{ 4x }{ 2 } + \frac{ 2 }{ 8 } = \frac{ x }{ 6 } + \frac{ 2 }{ 3 }$$

Solve for x

$x=\frac{5}{22}\approx 0.227272727$

Steps for Solving Linear Equation

Multiply both sides of the equation by $24$, the least common multiple of $2,8,6,3$.

$$12\times 4x+3\times 2=4x+16$$

Multiply $12$ and $4$ to get $48$.

$$48x+3\times 2=4x+16$$

Multiply $3$ and $2$ to get $6$.

$$48x+6=4x+16$$

Subtract $4x$ from both sides.

$$48x+6-4x=16$$

Combine $48x$ and $-4x$ to get $44x$.

$$44x+6=16$$

Subtract $6$ from both sides.

$$44x=16-6$$

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

$$44x=10$$

Divide both sides by $44$.

$$x=\frac{10}{44}$$

Reduce the fraction $\frac{10}{44}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{5}{22}$$