10x - 6 = 6x + 14

solve for the letter x

x = 5

Step-by-step explanation:

x = 5

Simplifying

10x + -6 = 6x + 14

Reorder the terms:

-6 + 10x = 6x + 14

Reorder the terms:

-6 + 10x = 14 + 6x

Solving

-6 + 10x = 14 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-6 + 10x + -6x = 14 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-6 + 4x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0

-6 + 4x = 14 + 0

-6 + 4x = 14

Add '6' to each side of the equation.

-6 + 6 + 4x = 14 + 6

Combine like terms: -6 + 6 = 0

0 + 4x = 14 + 6

4x = 14 + 6

Combine like terms: 14 + 6 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.