Solve (x)/(3)+x=10+(2x)/(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

$$\frac{ x }{ 3 } +x=10+ \frac{ 2x }{ 9 }$$

Solve for x

$x=9$

Steps for Solving Linear Equation

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

$$3x+9x=90+2x$$

Combine $3x$ and $9x$ to get $12x$.

$$12x=90+2x$$

Subtract $2x$ from both sides.

$$12x-2x=90$$

Combine $12x$ and $-2x$ to get $10x$.

$$10x=90$$

Divide both sides by $10$.

$$x=\frac{90}{10}$$

Divide $90$ by $10$ to get $9$.

$$x=9$$