<prompt> Given an equation, solve it and explain the steps3x 4 2x 12  <response>: Terms are the different parts of an equation that are joined by an equal or inequality sign. They are either single numbers or variables, or a combination of both. Step 1: Keep the terms with the variable on one side and the terms without the variable on the other side of the equal sign. We can achieve this by subtracting a term from both sides of the equation: subtract 2x from both sides.3x 4 2x 12 Equation3x 4 - 2x 2x 12 - 2x x 4 12 Simplified Step 2: Isolate the variable: to do this, you want to get rid of the number term in this case 4 on the side with the variable by subtracting 4 from both sides.x 4 12 Equationx 4 - 4 12 - 4 x 8 Simplified Step 3: Check. We do this by substituting the value of x 8 back into the original equation to see if both sides are equal. 3x 4 2x 12 Equation38 4 28 12 28 28 Simplified The solution to the equation 3x 4 2x 12 is x 8. 