Answer:
x = 2.8
Explanation:
5/6 = 4/x+2
Cross multiply:
5 * x + 2 = 6 * 4
Simplifying
5 * x + 2 = 6 * 4
Reorder the terms:
5 * 2 + x = 6 * 4
2 * 5 + x * 5 = 6 * 4
10 + 5x = 6 * 4
Multiply 6 * 4
10 + 5x = 24
Solving
10 + 5x = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 5x = 24 + -10
Combine like terms: 10 + -10 = 0
0 + 5x = 24 + -10
5x = 24 + -10
Combine like terms: 24 + -10 = 14
5x = 14
Divide each side by '5'.
x = 2.8
Simplifying
x = 2.8