Question

Solve 5(x + 2) = 6x + 3x − 14 in a step by step manner.

Answer 1

To solve the equation 5(x + 2) = 6x + 3x − 14, expand and simplify the terms, combine like terms, move variables to one side, and constants to the other, then solve for x and check the solution.

Step-by-step explanation:

To solve the equation 5(x + 2) = 6x + 3x − 14, follow these steps:

1. Expand the left side: 5x + 10 = 6x + 3x − 14.
2. Combine like terms on the right side: 5x + 10 = 9x − 14.
3. Move all terms with x to one side and constant terms to the opposite side: 5x - 9x = -14 - 10.
4. Combine the like terms: -4x = -24.
5. Divide both sides by -4 to solve for x: x = 6.
6. Check the solution by substituting back into the original equation.

After substituting x = 6 into the original equation, both sides equal 40, confirming that the solution is reasonable.