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QuestionSolve the equation: 5x+7=3x+415x + 7 = 3x + 41

Studdy Solution

STEP 1

Assumptions1. The given equation is a linear equation in one variable, x. . The equation is in the form of ax + b = cx + d, where a, b, c, and d are constants.

STEP 2

The first step to solve the equation is to isolate the variable x on one side of the equation. We can do this by subtractingx from both sides of the equation.
5x−x+7=x−x+415x -x +7 =x -x +41

STEP 3

implify the equation.
2x+7=412x +7 =41

STEP 4

Next, we want to isolate x by itself. We can do this by subtracting7 from both sides of the equation.
2x+7−7=41−72x +7 -7 =41 -7

STEP 5

implify the equation.
2x=342x =34

STEP 6

Finally, to solve for x, we divide both sides of the equation by2.
x=342x = \frac{34}{2}

STEP 7

implify to find the solution.
x=17x =17The solution to the equation is x =17.

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