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Chapter 0: Problem 87

Simplify each algebraic expression. $$5(3 x-2)+12 x$$

Short Answer

Expert verified
The simplified form of the given algebraic expression is \(27x - 10\).

Step by step solution

01

Apply the Distributive Property

Initially, multiply 5 (which is outside the brackets) with each term inside the brackets. The distributive property is applied as follows - \(5 \times (3x - 2) = 15x - 10\). Now, the expression becomes \(15x - 10 + 12x\).
02

Combine Like Terms

In the expression \(15x - 10 + 12x\), combine the 'x' terms, meaning adding the coefficients \(15\) and \(12\) of 'x'. This gives a simplified expression which equals to \(27x - 10\).

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Most popular questions from this chapter

$$\text { Factor completely.}$$ $$10 x^{2}(x+1)-7 x(x+1)-6(x+1)$$

Determine whether each statement in Exercises 43鈥�50 is true or false. $$-\pi \geq-\pi$$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\\{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\\}$$

Fill in each box to make the statement true. Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. a. \(3^{\frac{1}{2}} 3^{\frac{1}{3}}\) b. \(\sqrt{7}+\sqrt{18} \quad \sqrt{7+18}\)

What does it mean to factor completely?
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