Solve (3x + 2)/11 = (x + 5)/8 | 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

$$\frac{3x+2}{11}=\frac{x+5}{8}$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $88$, the least common multiple of $11,8$.

$$8\left(3x+2\right)=11\left(x+5\right)$$

Use the distributive property to multiply $8$ by $3x+2$.

$$24x+16=11\left(x+5\right)$$

Use the distributive property to multiply $11$ by $x+5$.

$$24x+16=11x+55$$

Subtract $11x$ from both sides.

$$24x+16-11x=55$$

Combine $24x$ and $-11x$ to get $13x$.

$$13x+16=55$$

Subtract $16$ from both sides.

$$13x=55-16$$

Subtract $16$ from $55$ to get $39$.

$$13x=39$$

Divide both sides by $13$.

$$x=\frac{39}{13}$$

Divide $39$ by $13$ to get $3$.

$$x=3$$