Answer:
x = 0.6666666667
Explanation:
Simplifying
10x + 38 = 40 + 7x
Reorder the terms:
38 + 10x = 40 + 7x
Solving
38 + 10x = 40 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
38 + 10x + -7x = 40 + 7x + -7x
Combine like terms: 10x + -7x = 3x
38 + 3x = 40 + 7x + -7x
Combine like terms: 7x + -7x = 0
38 + 3x = 40 + 0
38 + 3x = 40
Add '-38' to each side of the equation.
38 + -38 + 3x = 40 + -38
Combine like terms: 38 + -38 = 0
0 + 3x = 40 + -38
3x = 40 + -38
Combine like terms: 40 + -38 = 2
3x = 2
Divide each side by '3'.
x = 0.6666666667
Simplifying
x = 0.6666666667