Problem 87
Question
Simplify each algebraic expression. $$5(3 x-2)+12 x$$
Step-by-Step Solution
Verified Answer
The simplified form of the given algebraic expression is \(27x - 10\).
1Step 1: 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 \(15x - 10 + 12x\).
2Step 2: 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 \(27x - 10\).
Other exercises in this chapter
Problem 87
In Exercises \(83-90\), evaluate each expression without using a calculator. $$125^{\frac{2}{3}}$$
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Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two d
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Explain how to simplify a rational expression.
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