To solve the equation \(10x - 18 = -2\), we'll follow a step-by-step approach:
Step 1
Add 18 to both sides of the equation to isolate the term with \(x\): \[ 10x - 18 + 18 = -2 + 18 \] This simplifies to: \[ 10x = 16 \]
Step 2
Next, divide both sides of the equation by 10 to solve for \(x\): \[ \frac{10x}{10} = \frac{16}{10} \] This simplifies to: \[ x = \frac{16}{10} \] Which can be further simplified to: \[ x = \frac{8}{5} \quad \text{or} \quad x = 1.6 \]
Step 3
To verify the solution, substitute \(x = 1.6\) back into the original equation: \[ 10(1.6) - 18 = -2 \] Calculating the left side: \[ 16 - 18 = -2 \] Since both sides are equal, our solution is confirmed.
Thus, the final answer is: \[ x = \frac{8}{5} \quad \text{or} \quad x = 1.6 \]
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