Problem 74
Question
Simplify each algebraic expression. $$2 x-10 x$$
Step-by-Step Solution
Verified Answer
\(-8x\)
1Step 1: Identify like terms
Like terms in algebra are terms which contain the same variables raised to the same power. Ours here are \(2x\) and \(-10x\), both terms have the same variable \(x\) raised to the power of 1
2Step 2: Combine like terms
We combine them by adding or subtracting the coefficients while leaving the variable and its exponent intact. Here, we subtract the coefficients \(2\) and \(-10\) to get \(-10+2 = -8x\).
Other exercises in this chapter
Problem 73
Write each sentence as an equation. Let the variable \(x\) represent the number. Five times a number is equal to 24 decreased by the number.
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{12}-\frac{5}{12}$$
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Find each absolute value. $$|-9|$$
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In Exercises \(73-80,\) evaluate each algebraic expression for the given value of the variable. $$x^{2}-2 x ; x=6$$
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