Question

6×(2.3x-1)-3.5 x+0.7x=0.5(x-14)

Answer 1

$x = - \frac{2}{21}$

Answer 2

To solve the equation, let's simplify and then solve for the value of 'x'.

Step 1: Distribute and combine like terms on both sides of the equation.

On the left side: 6 × (2.3x - 1) - 3.5x + 0.7x

Distribute 6: = 13.8x - 6 - 3.5x + 0.7x

Combine like terms: = (13.8x - 3.5x + 0.7x) - 6

= 11x - 6

On the right side: 0.5(x - 14)

Distribute 0.5: = 0.5x - 7

Step 2: Set the left side equal to the right side and solve for 'x'.

11x - 6 = 0.5x - 7

Step 3: Isolate the variable 'x' on one side of the equation.

Subtract 0.5x from both sides: 11x - 0.5x - 6 = -7

Combine like terms: 10.5x - 6 = -7

Step 4: Now, add 6 to both sides of the equation to isolate the term containing 'x'.

10.5x - 6 + 6 = -7 + 6

Combine like terms: 10.5x = -1

Step 5: Finally, divide both sides by 10.5 to solve for 'x'.

x = -1 / 10.5

x ≈ -0.0952

So, the solution to the equation is approximately x = -0.0952.