Solve (x-1)/(2)=(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

$$\frac{ x-1 }{ 2 } = \frac{ x+2 }{ 5 }$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $2,5$.

$$5\left(x-1\right)=2\left(x+2\right)$$

Use the distributive property to multiply $5$ by $x-1$.

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

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

$$5x-5=2x+4$$

Subtract $2x$ from both sides.

$$5x-5-2x=4$$

Combine $5x$ and $-2x$ to get $3x$.

$$3x-5=4$$

Add $5$ to both sides.

$$3x=4+5$$

Add $4$ and $5$ to get $9$.

$$3x=9$$

Divide both sides by $3$.

$$x=\frac{9}{3}$$

Divide $9$ by $3$ to get $3$.

$$x=3$$