(8x-5)/(12x+3) = 5/9
Hey guys, could someone please solve for x? I'm not sure how to simplify this equation -\_(ツ)_/- Many thanks.
"cross" multiply the fractions
9 (8 x - 5) = 5 (12 x + 3) ... 72 x - 45 = 60 x + 15
( 8 x - 5 ) / ( 12 x + 3 ) = 5 / 9
cross multiply
( 8 x - 5 ) ∙ 9 = 5 ∙ ( 12 x + 3 )
8 x ∙ 9 - 5 ∙ 9 = 5 ∙ 12 x + 5 ∙ 3
72 x - 45 = 60 x + 15
Subtract 60 x to both sides
72 x - 45 - 60 x = 60 x + 15 - 60 x
12 x - 45 = 15
Add 45 to both sides
12 x - 45 + 45 = 15 + 45
12 x = 60
Divide both sides by 12
x = 60 / 12 = 5
To solve the given equation:
(8x - 5)/(12x + 3) = 5/9
We can start by cross-multiplying to eliminate the denominators.
1. Multiply the numerator of the first fraction by the denominator of the second fraction:
(8x - 5) * 9 = 5 * (12x + 3)
2. Simplify both sides of the equation:
72x - 45 = 60x + 15
Next, we can isolate the variable on one side of the equation.
3. Move all terms containing x to one side and constants to the other side:
72x - 60x = 15 + 45
12x = 60
4. Simplify both sides of the equation:
12x = 60
5. Solve for x by dividing both sides of the equation by 12:
x = 60/12
6. Simplify the fraction:
x = 5
Therefore, the value of x that satisfies the equation is x = 5.