x+5/4=3/4x
The next step would be obtained by subtracting 3/4 x + 5/4 from both sides. That gives yoju
x/4 = -5/4
Now multiply both sides of the equation by 4.
To solve the given equation x + 5/4 = 3/4x, we want to isolate the variable x on one side of the equation.
First, we can start by subtracting (3/4)x from both sides of the equation to eliminate it from the left side.
x + 5/4 - (3/4)x = 0
Simplifying the equation gives us:
x - (3/4)x + 5/4 = 0
Now, we want to combine the x terms on the left side:
(1 - 3/4)x + 5/4 = 0
To subtract fractions, we need a common denominator. The least common multiple of 1 and 4 is 4.
So, we can rewrite the equation with a common denominator:
(4/4 - 3/4)x + 5/4 = 0
Simplifying further, we have:
(1/4)x + 5/4 = 0
Now, to isolate the x term, we can subtract 5/4 from both sides:
(1/4)x = -5/4
Multiplying both sides of the equation by 4 will eliminate the fraction on the left side:
4 * (1/4)x = 4 * (-5/4)
Simplifying gives us:
x = -5/4
Hence, the solution to the equation x + 5/4 = 3/4x is x = -5/4.