Question

Solve for x.

8 / 9 ( 54 x - 36 ) + 2 = - 3 / 4 (- 40 + 16 x ) + 90 x

x =

Answer 1

89 ( 54 x - 36 ) + 2 = -34 ( -40 + 16x ) + 90xx

Answer 2

1. Simplify the expression
More Icon


Multiply the fractions:



Solve by distributing:



Simplify the arithmetic:



Break up the fraction:



Simplify the fraction:



Find the greatest common factor of the numerator and denominator:



Factor out and cancel the greatest common factor:



Simplify the arithmetic:



Multiply the fractions:



Solve by distributing:



Simplify the arithmetic:



Break up the fraction:



Find the greatest common factor of the numerator and denominator:



Factor out and cancel the greatest common factor:



Simplify the fraction:


2. Group all x terms on the left side of the equation
More Icon


Add to both sides:



Group like terms:



Simplify the arithmetic:



Group like terms:



Simplify the arithmetic:



3. Group all constants on the right side of the equation
More Icon


Add to both sides:



Simplify the arithmetic:



Simplify the arithmetic:



4. Isolate the x
More Icon


Divide both sides by 60:



Simplify the fraction:



Break up the fraction:



Simplify the fraction:



Find the greatest common factor of the numerator and denominator:



Factor out and cancel the greatest common factor: