Problem 86
Question
Simplify each algebraic expression. $$2(5 x+4)-3$$
Step-by-Step Solution
Verified Answer
The simplified form of the algebraic expression is \(10x + 5\).
1Step 1: Apply the Distributive Property
To simplify the expression \(2*(5x+4)-3\), start by applying the distributive property to the expression inside parentheses. That would multiply \(2*(5x)\) and \(2*4\), resulting into \(10x + 8\). Therefore, the initial algebraic expression becomes \(10x + 8 - 3\).
2Step 2: Combine Like Terms
Next, combine like terms. In this case, the constants \(8\) and \(-3\) are like terms. So by subtracting, it finalizes to \(10x + 5\) which is the simplified form of the given algebraic expression.
Other exercises in this chapter
Problem 86
Evaluate each expression without using a calculator. $$ 27^{\frac{1}{3}} $$
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Write each number in scientific notation. $$ -0.00000000405 $$
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Factor completely, or state that the polynomial is prime. $$9 b^{2} x-16 y-16 x+9 b^{2} y$$
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Explain how to determine which numbers must be excluded from the domain of a rational expression.
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