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You have been given the following equation to solve as a challenge by your friend. Create a list of steps that you could follow to find the solution. Make sure to include all steps in the correct order.

5(x+3)–7(x–4)=38

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1. Distribute the 5 and 7 to the terms in the parentheses: 5x + 15 - 7x + 28 = 38

2. Combine like terms: -2x + 43 = 38
3. Subtract 43 from both sides: -2x = -5
4. Divide both sides by -2: x = 2.5

Did you know?

Did you know that solving equations can be made easier by following a systematic approach? To find the solution to the equation 5(x+3)–7(x–4)=38, you can follow these steps in order: 1. Start by distributing the numbers outside the parentheses to each term inside: 5 multiplied by (x+3) and -7 multiplied by (x-4). 2. Simplify the equation by combining like terms. For example, combine the x terms and the constant terms separately. 3. Continue simplifying by performing any necessary calculations, such as multiplying or adding/subtracting. 4. Move all variable terms to one side of the equation and all constant terms to the other side. 5. Simplify further by dividing both sides of the equation by the coefficient of the variable term to isolate the variable. 6. After obtaining the value of the variable, substitute it back into the original equation to check if it satisfies the equation. 7. Finally, present the solution as a single value for the variable. By systematically following these steps, you can confidently solve challenging equations like this one.