Solve the following 5(2x-3)=15
\(5(2x-3)=15\)
\(2x-3=15/5\) \(\text{ Divide both sides by 5}\)
\(2x-3=3\)
\(2x=3+3\) \(\text{Add 3 to both sides}\)
\(2x=6\)
\(x=6/2\) \(\text{Divide both sides by 2}\)
\(x=3\)
Simplifying
5(2x + -3) = 15
Reorder terms:
5(-3 + 2x) = 15
(-3 5 + 2x 5) = 15
(-15 + 10x) = 15
Solving
-15 + 10x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 10x = 15 + 15
Combine like terms: -15 + 15 = 0
0 + 10x = 15 + 15
10x = 15 + 15
Combine like terms: 15 + 15 = 30
10x = 30
Divide each side by '10'.
x = 3
Simplifying
x = 3