How do you simplify 2x +5(6x-4)+ 1?

Apr 11, 2015

We simplify this expression using the PEMDAS rule
(Parentheses > Exponents > Mult and Div > Add and Subtract)

color(red)(2x +5(6x-4)+ 1 is the expression given to us.

We Multiply terms before we perform the Addition

$= 2 x + \left(5 \cdot 6 x\right) + \left(5 \cdot - 4\right) + 1$
( We used the Distributive Property of Multiplication)

$= 2 x + 30 x - 20 + 1$

$= \left(2 x + 30 x\right) - \left(20 - 1\right)$

color(green)( = 32x - 19