What value of x makes this equation true? 4x+50= 7/8x-35
A: 40/13
B: 24/5
C: -680/39
D: -136/5
To find the value of x that makes the equation true, we need to isolate x on one side of the equation. This involves moving all the x terms to one side and the constant numbers to the other side.
Given equation: 4x + 50 = (7/8)x - 35
First, we need to get rid of the fraction by multiplying every term in the equation by 8 to get rid of the denominator:
8(4x + 50) = 8(7/8)x - 8(35)
32x + 400 = 7x - 280
Next, bring all the x terms to one side of the equation:
32x - 7x = -280 - 400
25x = -680
Finally, we isolate x by dividing both sides by 25:
x = -680/25
x = -136/5
Therefore, the value of x that makes the equation true is D: -136/5.