How do you solve #4x - 24= - 5x + 12#?

3 Answers
Jun 22, 2018

Answer:

#x = 4#

Here's how I did it:

Explanation:

#4x - 24 = -5x + 12#

First, add #color(blue)24# to both sides:
#4x - 24 quadcolor(blue)(+quad24) = -5x + 12 quadcolor(blue)(+quad24)#

#4x = -5x + 36#

Now add #color(blue)(5x)# to both sides:
#4x quadcolor(blue)(+quad5x) = -5x + 36 quadcolor(blue)(+quad5x)#

#9x = 36#

Finally, divide both sides by #color(blue)9#:
#(9x)/color(blue)9 = 36/color(blue)9#

Therefore,
#x = 4#

Hope this helps!

Jun 22, 2018

Answer:

#x=4#

Explanation:

Combining like terms:

#9x=36#

so

#x=4#

Jun 22, 2018

Answer:

#x=4#

Explanation:

#"collect terms in x on the left side and numeric values on"#
#"the right side"#

#"add "5x" to both sides"#

#4x+5x-24=12#

#"add 24 to both sides"#

#9x=12+24=36#

#"divide both sides by 9"#

#x=36/9=4#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=16-24=-8#

#"right "=-20+12=-8#

#x=4" is the solution"#