Problem 47
Question
Simplify each algebraic expression. $$-10 x+2 x$$
Step-by-Step Solution
Verified Answer
-8x
1Step 1: Identify Like Terms
The two terms in the expression are -10x and 2x. Both of these are 'like' terms because they both contain the same variable, x.
2Step 2: Combine Like Terms
The next step is to add or subtract like terms. We have -10x and 2x. To combine, we simply add the coefficients of these like terms. That is, we add -10 and 2.
3Step 3: Result
The result of the combination of -10 and 2 is -8. Therefore, the term becomes -8x. This is the simplified form of the given algebraic expression.
Other exercises in this chapter
Problem 47
Simplify each algebraic expression. $$7 x+10 x$$
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Insert either \(\) in the shaded area between each pair of numbers to make a true statement. $$3 \square -\frac{5}{2}$$
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Determine whether the given number is a solution of the equation. $$4 z=20 ; 10$$
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{10} \cdot \frac{5}{6}$$
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