Solve for x: x−3 + 3(x+2) = 7

The equation from your work is:

$$x-3 + 3(x+2) = 7$$

Distribute the 3 into the parenthesis:

$$x-3 + 3x + 6 = 7$$

Combine the $x$ terms and the constant terms:

$$(x + 3x) + (-3 + 6) = 7$$ $$4x + 3 = 7$$

Subtract 3 from both sides of the equation:

$$4x = 7 - 3$$ $$4x = 4$$

Divide both sides by 4:

$$x = \frac{4}{4}$$ $$x = 1$$

The final answer is 1.