9514 1404 393
Answer:
- distribute
- subtract
- add
- divide by
Step-by-step explanation:
[tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]
At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.
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Additional comment
Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.
