10 x + 3 = 5 x + 12
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Let's solve the equation for x.
The equation is:
$$10x + 3 = 5x + 12$$
Step 1: Subtract $5x$ from both sides of the equation to gather x terms on one side.
$$10x - 5x + 3 = 5x - 5x + 12$$
$$5x + 3 = 12$$
Step 2: Subtract 3 from both sides of the equation to isolate the term with x.
$$5x + 3 - 3 = 12 - 3$$
$$5x = 9$$
Step 3: Divide both sides by 5 to solve for x.
$$\frac{5x}{5} = \frac{9}{5}$$
$$x = \frac{9}{5}$$
Step 4: State the final answer.
$$\boxed{x = \frac{9}{5}}$$
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