Question

7-x=2(1-3x)...........

Answer 1

7 - x = 2(1 - 3x)
7 - x = 2 - 6x
- x + 6x = 2 - 7
5x = - 5
x = - 1

Answer 2

To solve the equation 7 - x = 2(1 - 3x), follow these steps:

Step 1: Distribute the 2 on the right-hand side of the equation:

7 - x = 2 - 6x

Step 2: Move the variable terms (terms with x) to one side of the equation and the constant terms to the other side. To do this, add 6x to both sides of the equation:

7 - x + 6x = 2

Simplify the equation:

7 + 5x = 2

Step 3: Now, isolate the variable term by moving the constant term to the other side. To do this, subtract 7 from both sides of the equation:

7 + 5x - 7 = 2 - 7

Simplify the equation:

5x = -5

Step 4: Finally, solve for x by dividing both sides of the equation by 5:

x = -5 / 5

Simplify:

x = -1

So, the solution to the equation is x = -1.