Solve the following linear equation for x. Then check our answer. Show all your steps for solving and checking.
5x + 8 + x = 32
To solve the equation 5x + 8 + x = 32, we first combine like terms:
5x + x + 8 = 32
This simplifies to:
6x + 8 = 32
Next, we isolate x by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
This simplifies to:
6x = 24
To solve for x, we divide both sides by 6:
6x/6 = 24/6
This simplifies to:
x = 4
To check our solution, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
This simplifies to:
20 + 8 + 4 = 32
Adding the terms together, we get:
32 = 32
Since both sides of the equation are equal, our solution of x = 4 is correct.
can you make it shorter please
Certainly! Here's a shorter version:
5x + 8 + x = 32
Simplify the left side by combining like terms:
6x + 8 = 32
Subtract 8 from both sides:
6x = 24
Divide both sides by 6:
x = 4
To check, substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
Simplifying,
20 + 8 + 4 = 32
32 = 32
Since both sides are equal, our solution of x = 4 is correct.