Solve (2x)/3 + 8 = (5x)/9 + 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

$$\frac{2x}{3}+8=\frac{5x}{9}+18$$

Solve for x

$x=90$

Steps for Solving Linear Equation

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

$$3\times 2x+72=5x+162$$

Multiply $3$ and $2$ to get $6$.

$$6x+72=5x+162$$

Subtract $5x$ from both sides.

$$6x+72-5x=162$$

Combine $6x$ and $-5x$ to get $x$.

$$x+72=162$$

Subtract $72$ from both sides.

$$x=162-72$$

Subtract $72$ from $162$ to get $90$.

$$x=90$$