How do you solve #2x + 7- 4x + 10= 7x - 2+ 3x#?

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Answer 1 · 2016-09-15T19:45:48

Group like terms and then solve for x working backwards.

#x = 19/12#

The communative property of addition can be used to group like terms.

Moving like terms around so the like terms are next to each other makes the problem easier to solve. Doing this gives.

#(2x - 4x) + ( 7 + 10) = ( 7x + 3x) -2#

Next simply by adding like terms This gives

#-2x + 17 = 10 x -2#

Move all the x's to one side of the equation by doing the opposite

#(-2x + 2x ) + 17 = ( 10 x + 2x ) -2" "# This gives

#17 = 12 x -2#

Now move the non-variable (constant) terms to the other side of the equation.

This gives

#17+ 2 = 12x -2 +2" "# This gives

#19 = 12 x " "# Now divide both sides by 12 to isolate #x#

# 19/12 = (12x)/12 # The answer is

#19/12 = x#