Problem 61
Question
Simplify each algebraic expression. $$12+5(3 x-2)$$
Step-by-Step Solution
Verified Answer
The simplified expression is \(15x + 2\).
1Step 1 - Distribute
First, distribute the number outside the parenthesis (which is 5) through the terms inside the parenthesis. According to the distributive property of multiplication over addition, the operation should look like this: \(12 + 5*3x - 5*2\).
2Step 2 - Multiply
Carry out multiplication in the expression from step 1: \(12 + 15x - 10\).
3Step 3 - Combine like terms
Next, combine the like terms (the numbers). The expression now simplifies to \(15x + 2\) (because 12 minus 10 equals 2).
Other exercises in this chapter
Problem 61
Perform the indicated division or state that the expression is undefined. $$(-180) \div(-30)$$
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In Exercises \(29-72,\) use the order of operations to simplify each expression. $$8(-10)+|4(-5)|$$
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Write each sentence as an equation. Let the variable \(x\) represent the number. The quotient of 14 and a number is \(\frac{1}{2}\)
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Find each sum. $$|-3+(-5)|+|2+(-6)|$$
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