Can you please explain how to simplify this 5x -3x+4x?

2 Answers
smendyka
Feb 21, 2018

We can factor outer the common term of #x# giving:

#5x - 3x + 4x = (5 - 3 + 4)x = (2 + 4)x = 6x#

Jim G.
Feb 21, 2018

#6x#

Explanation:

#"the process of simplifying this expression is called"#

#color(magenta)"collecting like terms"#

#"each part of the expression is called a"color(blue)" term"#

#"there are 3 terms here namely "5x,-3x" and "+4x#

#"the letter x is called a "color(orange)"variable"#

#"and since they all have the same variable x they are"#

#"referred to as "color(magenta)"like terms"#

#"the number value in front of the variable is called"#

#color(red)"the coefficient"" and includes the sign"#

#"to simplify we add/subtract the "color(red)"coefficients"#

#rArr5x-3x+4x=(5-3+4)x=6x#

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