How do you solve 2-3[7-2(4-x)]= 2x-1?

1 Answer
Jan 8, 2016

x = 3/4

Explanation:

this is a multi-step equation.

the first step is to simplify the contents of the 'square bracket'

2 -3 ( 7- 8 + 2x ) = 2x - 1

now simplify contents of 'new bracket'

2 - 3 ( - 1 + 2x ) = 2x - 1

now multiply the bracket by - 3

2 + 3 - 6x = 2x - 1

now collect like terms to separate sides of the = sign

2 + 3 + 1 = 2x + 6x

6 = 8x ( divide both sides by 8 to obtain x )

6/8 = (8x)/8 rArr x = 3/4