Question

2x-3/5-1-x/4+5x+1/20=9x+3/10

Answer 1

2х-0,6-1-х/4+5х+0,05=9х+0,3

27/4*х-1,55=9х+3/10

27/4*х-31/20=9х+3/10

135х-31=180х+6

135х-180х=6+31

-45х=37

х= -37/45 или -0,82

Answer 2

To solve the equation, we need to find the value of x that makes both sides of the equation equal. Let's start by simplifying both sides of the equation step by step:

Given equation: 2x - 3/5 - (1 - x)/4 + 5x + 1/20 = 9x + 3/10

Step 1: Combine like terms on the left side of the equation. 2x + 5x = 7x (-3/5) - [(1 - x)/4] + (1/20) = -3/5 - (1/4) + (1/20)

Step 2: Find a common denominator for the terms on the left side. The common denominator for 5, 4, and 20 is 20.

(-3/5) - [(1 - x)/4] + (1/20) = (-12/20) - (5/20) + (1/20)

Step 3: Combine the terms with a common denominator on the left side. (-3/5) - [(1 - x)/4] + (1/20) = (-12 - 5 + 1)/20 = (-16)/20 = (-4)/5

Step 4: Rewrite the equation with the simplified left side. 7x - 4/5 = 9x + 3/10

Step 5: Move the x terms to one side of the equation and the constant terms to the other side. Subtract 7x from both sides: 7x - 7x - 4/5 = 9x - 7x + 3/10

Simplify: -4/5 = 2x + 3/10

Step 6: Move the constant term to the opposite side of the equation. Add 4/5 to both sides: -4/5 + 4/5 = 2x + 3/10 + 4/5

Simplify: 0 = 2x + 23/10

Step 7: Finally, solve for x. Subtract 23/10 from both sides: -23/10 = 2x

Divide by 2 to isolate x: x = (-23/10) / 2 x = -23/20 x = -1.15

So, the solution to the equation is x = -1.15.