How do you simplify #x+ \frac{2( - 2x + 1)}{3x + 5} = \frac{3x^{2}}{3x + 5}#?

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Answer 1 · 2016-10-03T04:48:25

#x=-2#

Simplify: #x+(2(-2x+1))/(3x+5)=(3x^2)/(3x+5)#

Multiply both sides by the common denominator #3x+5#.

#x(3x+5)+2(-2x+1)=3x^2#

Simplify using the distributive property on the left-hand side.

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

Cancel #3x^2# on both sides and simplify.

#x+2=0#

Subtract #2# from both sides.

#x=-2#