Solve (4x)/9 + 1/3 + 13/108 * x = (8x + 19)/18 | 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

$$\frac{4x}{9}+\frac{1}{3}+\frac{13}{108}x=\frac{8x+19}{18}$$

Solve for x

$x=6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $108$, the least common multiple of $9,3,108,18$.

$$12\times 4x+36+13x=6\left(8x+19\right)$$

Multiply $12$ and $4$ to get $48$.

$$48x+36+13x=6\left(8x+19\right)$$

Combine $48x$ and $13x$ to get $61x$.

$$61x+36=6\left(8x+19\right)$$

Use the distributive property to multiply $6$ by $8x+19$.

$$61x+36=48x+114$$

Subtract $48x$ from both sides.

$$61x+36-48x=114$$

Combine $61x$ and $-48x$ to get $13x$.

$$13x+36=114$$

Subtract $36$ from both sides.

$$13x=114-36$$

Subtract $36$ from $114$ to get $78$.

$$13x=78$$

Divide both sides by $13$.

$$x=\frac{78}{13}$$

Divide $78$ by $13$ to get $6$.

$$x=6$$