Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking.5x+8+x=32

Question

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Answer 1

To solve the equation \(5x + 8 + x = 32\), follow these steps:

1. Combine like terms: \[ 5x + x = 6x \] So, the equation becomes: \[ 6x + 8 = 32 \]

2. Isolate the variable term: Subtract 8 from both sides: \[ 6x = 32 - 8 \] \[ 6x = 24 \]

3. Solve for \(x\): Divide both sides by 6: \[ x = \frac{24}{6} \] \[ x = 4 \]

Check the solution:

Substitute \(x = 4\) back into the original equation: \[ 5(4) + 8 + 4 = 32 \] Calculate: \[ 20 + 8 + 4 = 32 \] \[ 32 = 32 \]

Since both sides are equal, the solution is verified.

Thus, the solution is: \[ \boxed{4} \]