To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $3$ is $12$. Multiply $\frac{3x-2}{4}$ times $\frac{3}{3}$. Multiply $\frac{2x+3}{3}$ times $\frac{4}{4}$.
Do the multiplications in $3\left(3x-2\right)-4\left(2x+3\right)$.
$$\frac{9x-6-8x-12}{12}-\frac{2}{3}-x$$
Combine like terms in $9x-6-8x-12$.
$$\frac{x-18}{12}-\frac{2}{3}-x$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $12$ and $3$ is $12$. Multiply $\frac{2}{3}$ times $\frac{4}{4}$.
$$\frac{x-18}{12}-\frac{2\times 4}{12}-x$$
Since $\frac{x-18}{12}$ and $\frac{2\times 4}{12}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{x-18-2\times 4}{12}-x$$
Do the multiplications in $x-18-2\times 4$.
$$\frac{x-18-8}{12}-x$$
Combine like terms in $x-18-8$.
$$\frac{x-26}{12}-x$$
To add or subtract expressions, expand them to make their denominators the same. Multiply $x$ times $\frac{12}{12}$.
$$\frac{x-26}{12}-\frac{12x}{12}$$
Since $\frac{x-26}{12}$ and $\frac{12x}{12}$ have the same denominator, subtract them by subtracting their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $3$ is $12$. Multiply $\frac{3x-2}{4}$ times $\frac{3}{3}$. Multiply $\frac{2x+3}{3}$ times $\frac{4}{4}$.
Do the multiplications in $3\left(3x-2\right)-4\left(2x+3\right)$.
$$\frac{9x-6-8x-12}{12}-\frac{2}{3}-x$$
Combine like terms in $9x-6-8x-12$.
$$\frac{x-18}{12}-\frac{2}{3}-x$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $12$ and $3$ is $12$. Multiply $\frac{2}{3}$ times $\frac{4}{4}$.
$$\frac{x-18}{12}-\frac{2\times 4}{12}-x$$
Since $\frac{x-18}{12}$ and $\frac{2\times 4}{12}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{x-18-2\times 4}{12}-x$$
Do the multiplications in $x-18-2\times 4$.
$$\frac{x-18-8}{12}-x$$
Combine like terms in $x-18-8$.
$$\frac{x-26}{12}-x$$
To add or subtract expressions, expand them to make their denominators the same. Multiply $x$ times $\frac{12}{12}$.
$$\frac{x-26}{12}-\frac{12x}{12}$$
Since $\frac{x-26}{12}$ and $\frac{12x}{12}$ have the same denominator, subtract them by subtracting their numerators.