Solve (x + 4)/3 = (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

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

Solve for x

$x=-13$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $3,5$.

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

Use the distributive property to multiply $5$ by $x+4$.

$$5x+20=3\left(x-2\right)$$

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

$$5x+20=3x-6$$

Subtract $3x$ from both sides.

$$5x+20-3x=-6$$

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

$$2x+20=-6$$

Subtract $20$ from both sides.

$$2x=-6-20$$

Subtract $20$ from $-6$ to get $-26$.

$$2x=-26$$

Divide both sides by $2$.

$$x=\frac{-26}{2}$$

Divide $-26$ by $2$ to get $-13$.

$$x=-13$$