Question

8x = 90 - 26
choose an action to perform.
ways to rewrite expressions
combine like terms\tconvert fraction to decimal
distribute\tperform multiplication
rewrite division as multiplication\trewrite fractions
rewrite signs\t
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides

Explanation:

Step1: Simplify the right - hand side

First, we need to simplify the right - hand side of the equation \(8x = 90-26\). We perform the subtraction operation: \(90 - 26=64\). So the equation becomes \(8x = 64\).

Step2: Solve for x

To solve for \(x\), we use the "Divide both sides" operation from the "Equation Transformations" section. We divide both sides of the equation \(8x = 64\) by 8. \(\frac{8x}{8}=\frac{64}{8}\), which simplifies to \(x = 8\).

Answer:

First, combine like terms (subtract 26 from 90) to get \(8x = 64\), then divide both sides by 8 to get \(x = 8\). The key actions are combining like terms (subtraction on the right - hand side) and then dividing both sides.