10 less than a number is 3 more than six times the number

Answer 1

The number is -13/5.

Remember:

1. "less than" means to subtract.
2. "more than" means to add.
3. "times" mean to multiply.
4. "is" means equals.

So, if we say our number is x, then 10 less than a number is 3 more than six times the number becomes:

x - 10 = 3 + 6x.

From here, we

1. Move like terms to one side
2. Solve for x.

x - 10 = 3 + 6x

==> x - 6x - 10 = 3

==> -5x - 10 = 3

==> -5x = 13

==> x = -13/5