Solve (5x+2)/(3)=(3x+5)/(3)+(5x+2)/(9) | 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

$$\frac{ 5x+2 }{ 3 } = \frac{ 3x+5 }{ 3 } + \frac{ 5x+2 }{ 9 }$$

Solve for x

$x=11$

Steps for Solving Linear Equation

Multiply both sides of the equation by $9$, the least common multiple of $3,9$.

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

Use the distributive property to multiply $3$ by $5x+2$.

$$15x+6=3\left(3x+5\right)+5x+2$$

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

$$15x+6=9x+15+5x+2$$

Combine $9x$ and $5x$ to get $14x$.

$$15x+6=14x+15+2$$

Add $15$ and $2$ to get $17$.

$$15x+6=14x+17$$

Subtract $14x$ from both sides.

$$15x+6-14x=17$$

Combine $15x$ and $-14x$ to get $x$.

$$x+6=17$$

Subtract $6$ from both sides.

$$x=17-6$$

Subtract $6$ from $17$ to get $11$.

$$x=11$$