Question

Solve the equation and check the solution 7x=6x-4

Answer 1

To solve this equation, we need to subtract 6x to both sides of the equation, as a first step. Thus, we have:

`7x-6x=6x-6x-4\Rightarrow x=-4`
`x=0-4\Rightarrow x=-4`

In the subtraction of 7x and 6x, we subtract the coefficients (7 - 6 = 1). That is why we ended up with x. The result for 6x - 6x = 0, and we finally have -4 at the left side of the equation.

Therefore, the value for x is -4.

To check this equation, we can proceed as follows:

1. Substitute the value of x = -4 in the original equation:

7*(-4) = 6*(-4) - 4

Then

-28 = -24 - 4

-28 = -28 (that is true).

Hence, we have checked that x = -4 is the solution for the equation:

7x = 6x - 4.