Solve (x + 3)/2 + (x - 2)/3 = 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

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

Solve for x

$x=5$

Steps for Solving Linear Equation

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

$$3\left(x+3\right)+2\left(x-2\right)=30$$

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

$$3x+9+2\left(x-2\right)=30$$

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

$$3x+9+2x-4=30$$

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

$$5x+9-4=30$$

Subtract $4$ from $9$ to get $5$.

$$5x+5=30$$

Subtract $5$ from both sides.

$$5x=30-5$$

Subtract $5$ from $30$ to get $25$.

$$5x=25$$

Divide both sides by $5$.

$$x=\frac{25}{5}$$

Divide $25$ by $5$ to get $5$.

$$x=5$$