What expression is equivalent to 2(m-5)+6

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

2( m - 5 ) + 6

Find the equivalent expression.

Solution:

In order to find the equivalent expression, we simply need to distribute 2 to each value inside the parenthesis, and then combine like terms.

= 2 ( m - 5 ) + 6

= 2m - 10 + 6

= 2m - 4

If we are asked to solve for m, we simply need to transpose -4 to the other side of the equation, hence we must take note that in transposing a number, the sign changes.

2m = 4

Divide both sides by 2 in order to determine the value of m.

2m/2 = 4/2

m = 2

Final answer:

Simplified answer = 2m - 4

m= 2