Solve (x+8)/(5)=(x+5)/(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

$$\frac{ x+8 }{ 5 } = \frac{ x+5 }{ 6 }$$

Solve for x

$x=-23$

Steps for Solving Linear Equation

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

$$6\left(x+8\right)=5\left(x+5\right)$$

Use the distributive property to multiply $6$ by $x+8$.

$$6x+48=5\left(x+5\right)$$

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

$$6x+48=5x+25$$

Subtract $5x$ from both sides.

$$6x+48-5x=25$$

Combine $6x$ and $-5x$ to get $x$.

$$x+48=25$$

Subtract $48$ from both sides.

$$x=25-48$$

Subtract $48$ from $25$ to get $-23$.

$$x=-23$$