The solution for the equation 0.6(4-2x) = 20.5 - (3x × 10) is approximately x = 0.6285. After simplifying and rearranging the terms, we divide by the coefficient of x to find the solution. Lastly, we plug the value back into the original equation to verify its correctness.
To solve the equation 0.6(4−2x) = 20.5 − (3x × 10), we first need to simplify both sides of the equation. Multiplying out the left side gives us 2.4 − 1.2x, and multiplying the right side equals 20.5 − 30x. Equating both sides yields
2.4 − 1.2x = 20.5 − 30x.
Now, we want to bring all the terms involving x to one side and the constant terms to the other side. To do this, we can add 1.2x and subtract 2.4 from both sides, resulting in 0 = 18.1 − 28.8x. Dividing by −28.8 to solve for x gives us x = 18.1 / 28.8, which simplifies to approximately x = 0.6285.
we check our solution by plugging it back into the original equation to see if both sides are equal, which confirms the correct solution.