Solve the following linear equation for X then check your answer show all your steps for solving and checking without words. 5x+8+x=32
Step 1: Combine like terms on the left side of the equation:
5x + 8 + x = 32
6x + 8 = 32
Step 2: Subtract 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24
Step 3: Divide both sides of the equation by 6:
6x/6 = 24/6
x = 4
Step 4: Check the solution by substituting the value of x (4) into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Therefore, the solution to the equation is x = 4.
Step 1: Combine like terms on the left side of the equation:
5x + 8 + x = 32
6x + 8 = 32
Step 2: Subtract 8 from both sides of the equation to isolate 6x:
6x + 8 - 8 = 32 - 8
6x = 24
Step 3: Divide both sides of the equation by 6 to solve for x:
6x/6 = 24/6
x = 4
Checking the solution:
Substitute the value of x back into the original equation and simplify both sides:
5x + 8 + x = 32
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, the solution is correct.
To solve the linear equation 5x + 8 + x = 32, we can follow these steps:
Step 1: Combine like terms on the left side of the equation.
5x + x + 8 = 32
6x + 8 = 32
Step 2: Move the constant term to the right side of the equation by subtracting 8 from both sides.
6x + 8 - 8 = 32 - 8
6x = 24
Step 3: To isolate x, divide both sides of the equation by the coefficient of x, which is 6.
(6x)/6 = 24/6
x = 4
Now, let's check our answer by substituting x = 4 back into the original equation (5x + 8 + x = 32) and see if both sides are equal.
Original equation: 5x + 8 + x = 32
Substituting x = 4: 5(4) + 8 + 4 = 32
Simplifying: 20 + 8 + 4 = 32
Adding: 32 = 32
Since both sides are equal, our solution x = 4 is correct.