Under the assumption that u and v are parallel, we have that both expressions: 12x-4, and 10x+10 are equal; because they are corresponding angles. So we have the equation
[tex]12x-4=10x+10[/tex]Let's solve it:
First step) Everything "with x" on the left-hand side, and everything else on the right-hand side.
[tex]12x-10x=10+4[/tex]Second step) Solving the sums.
[tex]2x=14[/tex]Third step) dividing by 2.
[tex]x=\frac{14}{2}=7[/tex]