Solve the equation. Check your solution.
3x+2x-8=27
x=
x = 7
To solve the equation 3x + 2x - 8 = 27:
Step 1: Combine like terms on the left side of the equation:
3x + 2x - 8 = 27
5x - 8 = 27
Step 2: Add 8 to both sides of the equation to isolate the term with 'x':
5x - 8 + 8 = 27 + 8
5x = 35
Step 3: Divide both sides of the equation by 5 to solve for 'x':
5x / 5 = 35 / 5
x = 7
To check the solution, substitute the value of 'x' (which is 7) back into the original equation:
3x + 2x - 8 = 27
3(7) + 2(7) - 8 = 27
21 + 14 - 8 = 27
35 - 8 = 27
27 = 27
Since both sides of the equation are now equal, the solution is correct.
To solve the equation 3x + 2x - 8 = 27, we first need to combine like terms.
Combining the x terms on the left side gives us 5x, so the equation becomes 5x - 8 = 27.
Next, we isolate the variable x by getting rid of the constant term -8. We can do this by adding 8 to both sides of the equation:
5x - 8 + 8 = 27 + 8
5x = 35
Finally, we solve for x by dividing both sides of the equation by 5:
5x / 5 = 35 / 5
x = 7
To check our solution, we substitute x = 7 back into the original equation:
3(7) + 2(7) - 8 = 27
21 + 14 - 8 = 27
35 - 8 = 27
27 = 27
Since both sides of the equation are equal, we can conclude that x = 7 is the correct solution.