10 x + 3 = 5 x + 12

April 14, 2026Mathematics

ScanSolve AI Answer

April 14, 2026

Answer

$x = \frac{9}{5}$

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. $\boxed{x = \frac{9}{5}}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

The equation is: 10x + 3 = 5x + 12 Step 1: Subtract 5x from both sides of the equation to gather x terms on one side.

Asked on April 14, 2026Mathematics

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 AnswerAnswered on April 14, 2026

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. (5x)/(5) = (9)/(5) x = (9)/(5) Step 4: State the final answer. x = (9)/(5) That's 2 down. 3 left today — send the next one.