How do you solve #2x - \frac { 1} { 2} ( 6+ 2x ) = 7#?

2 Answers
May 29, 2017

Answer:

#2x-x=7+3#. Therefore #x=10#

Explanation:

Arrange your equation:

#2x - (6/2) - (2x)/2 = 7#

#2x - x = 7+3#

#x=10#

Thisis your answer #x=10#

May 29, 2017

Answer:

#x = 10#

Explanation:

#2x - 1/2 xx (6 + 2x) = 7#

We can use some simple algebra to find this.

#2x - 1/2 (6 + 2x) = 7#

#2x - 3 - 1x = 7#

#2x - x - 3 = 7#

#x - 3 = 7#

#x = 7 + 3#

#color(blue)(x = 10#

We can prove this by substituting #x# for #10# in the equation.

#2 xx 10 - 1/2 xx (6 + 2 xx 10) = 7#

#20 - 1/2 xx (6 + 20) = 7#

#20 - 1/2 xx 26 = 7#

#20 - 13= 7#