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Exercise

$\frac{3x}{x+7}+\frac{2x}{x+7}12$

Step-by-step Solution

1

Combine $\frac{3x}{x+7}+12\left(\frac{2x}{x+7}\right)$ in a single fraction

$\frac{3x+12\left(\frac{2x}{x+7}\right)\left(x+7\right)}{x+7}$
2

Multiplying the fraction by $12\left(x+7\right)$

$\frac{3x+\frac{2\cdot 12x\left(x+7\right)}{x+7}}{x+7}$
3

Multiply $2$ times $12$

$\frac{3x+\frac{24x\left(x+7\right)}{x+7}}{x+7}$
4

Simplify the fraction $\frac{24x\left(x+7\right)}{x+7}$ by $x+7$

$\frac{3x+24x}{x+7}$
5

Combining like terms $3x$ and $24x$

$\frac{27x}{x+7}$

Final answer to the exercise

$\frac{27x}{x+7}$

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Main Topic: Combining like terms

Algebraic expressions can be simplified by combining like terms.

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