Given the equation: [tex]\frac{5x+4}{2} = 7[/tex]
x = 2
Explanation:
Multiply 2 on both sides of the equation to eliminate the fraction on the left-hand side:
[tex]2(\frac{5x+4}{2}) = 7(2)[/tex]
2 cancels out on the left side, leaving 5x + 4, and 14 on the right-hand side of the equation:
5x + 4 = 14
Subtract 4 from both sides of the equation:
5x + 4 - 4 = 14 - 4
5x = 10
Divide both sides of the equation by 5 to solve for x:
[tex]\frac{5x}{5} = \frac{10}{5}[/tex]
x = 2
