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Chapter 1: Problem 74

Simplify each algebraic expression. $$2 x-10 x$$

Short Answer

Expert verified
\(-8x\)

Step by step solution

01

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
02

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 \(-10+2 = -8x\).

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Most popular questions from this chapter

Perform the indicated subtraction. $$\frac{2}{5}-\left(-\frac{1}{10}\right)$$

Perform the indicated subtraction. $$\frac{1}{7}-\left(-\frac{3}{7}\right)$$

Perform the indicated subtraction. $$\frac{1}{5}-\left(-\frac{3}{5}\right)$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The quotient of \(-7\) and a number, subtracted from the quotient of \(-12\) and the number.

Perform the indicated subtraction. $$26-26$$
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