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

10 x + 3 = 5 x + 12

April 14, 2026Mathematics

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Answer

x = \frac{9}{5}

Step-by-step solution

4 steps

Let's solve the equation for x.

The equation is:

10x + 3 = 5x + 12

Subtract* $5x$ from both sides of the equation to gather x terms on one side.
$10x - 5x + 3 = 5x - 5x + 12$ $5x + 3 = 12$
Subtract* 3 from both sides of the equation to isolate the term with x.
$5x + 3 - 3 = 12 - 3$ $5x = 9$
Divide* both sides by 5 to solve for x.
$\frac{5x}{5} = \frac{9}{5}$ $x = \frac{9}{5}$
State the final answer.
$x = \frac{9}{5}$

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10 x + 3 = 5 x + 12

Answer

Step-by-step solution

Subtract* $5x$ from both sides of the equation to gather x terms on one side.

Subtract* 3 from both sides of the equation to isolate the term with x.

Divide* both sides by 5 to solve for x.

State the final answer.

Try one yourself

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