Solve (x+3)/(4)=(x-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

$$\frac{ x+3 }{ 4 } = \frac{ x-2 }{ 5 }$$

Solve for x

$x=-23$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $4,5$.

$$5\left(x+3\right)=4\left(x-2\right)$$

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

$$5x+15=4\left(x-2\right)$$

Use the distributive property to multiply $4$ by $x-2$.

$$5x+15=4x-8$$

Subtract $4x$ from both sides.

$$5x+15-4x=-8$$

Combine $5x$ and $-4x$ to get $x$.

$$x+15=-8$$

Subtract $15$ from both sides.

$$x=-8-15$$

Subtract $15$ from $-8$ to get $-23$.

$$x=-23$$