Math

QuestionSolve the equation: 6x8=10x+166x - 8 = 10x + 16. Find the solution set.

Studdy Solution

STEP 1

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

STEP 2

To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 10x10x from both sides of the equation to get rid of 10x10x on the right side.
6x10x8=10x10x+166x -10x -8 =10x -10x +16

STEP 3

implify the equation.
x8=16-x -8 =16

STEP 4

Next, add8 to both sides of the equation to get rid of the -8 on the left side.
4x8+8=16+8-4x -8 +8 =16 +8

STEP 5

implify the equation.
4x=24-4x =24

STEP 6

Finally, divide both sides of the equation by -4 to solve for x.
x=244x = \frac{24}{-4}

STEP 7

Calculate the value of x.
x=6x = -6The solution set is {6-6}.

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