Question

Using your notes, put the steps in the c

with variables on both sides:
6x + 5 = 10 + 5x
= Solution is x = 5
= Move the term with the variable: Subtract 5x from 6x
= Solve the equation: Subtract 5 from 10
= Check your answer

Answer 1

To solve an equation with variables on both sides, we move the term with the variable to one side by performing the opposite operation. Then, we simplify the equation and isolate the variable by performing the same operation on both sides of the equation. Finally, we check our solution by substituting it back into the original equation and verifying that both sides are equal.

Step-by-step explanation:

To put the steps of solving the equation with variables on both sides, we start by moving the term with the variable to one side of the equation. In this case, since we have 6x on one side and 5x on the other, we subtract 5x from 6x:

6x - 5x + 5 = 10

Simplifying further:

x + 5 = 10

To isolate x, we subtract 5 from both sides of the equation:

x = 10 - 5

Which gives us the solution:

x = 5

Finally, we can check our answer by substituting x=5 back into the original equation and verifying that both sides are equal:

6(5) + 5 = 10 + 5(5)

30 + 5 = 10 + 25

35 = 35

Learn more about Solving equations with variables on both sides