Question

What is the value of X? 5(x+2)=4(x+3.375)

Answer 1

x = 3.5

Explanation:

`5(x+2)=4(x+3.375)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(x)+(5)(2)=(4)(x)+(4)(3.375)\\\\5x+10=4x+13.5\qquad\text{subtract 10 from both sides}\\\\5x+10-10=4x+13.5-10\\\\5x=4x+3.5\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\5x-4x=4x-4x+3.5\\\\x=3.5`

Answer 2

x=3.5

Explanation:

5(x+2)=4(x+3.375)

Expand:

5x+10=4x+13.5

Subtract 10 from each side:

5x+10-10=4x+13.5-10

Simplify:

5x=4x+3.5

Subtract 4x from each side:

5x-4x=4x+3.5-4x

Simplify:

x=3.5