Solve x/5 + 1/3 = (x + 2)/3 + 1/5 | 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

$$\frac{x}{5}+\frac{1}{3}=\frac{x+2}{3}+\frac{1}{5}$$

Solve for x

$x=-4$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply $5$ by $x+2$.

$$3x+5=5x+10+3$$

Add $10$ and $3$ to get $13$.

$$3x+5=5x+13$$

Subtract $5x$ from both sides.

$$3x+5-5x=13$$

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

$$-2x+5=13$$

Subtract $5$ from both sides.

$$-2x=13-5$$

Subtract $5$ from $13$ to get $8$.

$$-2x=8$$

Divide both sides by $-2$.

$$x=\frac{8}{-2}$$

Divide $8$ by $-2$ to get $-4$.

$$x=-4$$