Solve 2/3 * x - 1 + 3/3 * x + 1 = 5/3 * x 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

$$\frac { 2 } { 3 } x - 1 + \frac { 3 } { 3 } x + 1 = \frac { 5 } { 9 } x$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Divide $3$ by $3$ to get $1$.

$$\frac{2}{3}x-1+1x+1=\frac{5}{9}x$$

Combine $\frac{2}{3}x$ and $1x$ to get $\frac{5}{3}x$.

$$\frac{5}{3}x-1+1=\frac{5}{9}x$$

Add $-1$ and $1$ to get $0$.

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

Subtract $\frac{5}{9}x$ from both sides.

$$\frac{5}{3}x-\frac{5}{9}x=0$$

Combine $\frac{5}{3}x$ and $-\frac{5}{9}x$ to get $\frac{10}{9}x$.

$$\frac{10}{9}x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $\frac{10}{9}$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$