2(z-3)=4(2+3)-10

Solution for 2(z-3)=4(2+3)-10 equation:

Simplifying
2(z + -3) = 4(2 + 3) + -10

Reorder the terms:
2(-3 + z) = 4(2 + 3) + -10
(-3 * 2 + z * 2) = 4(2 + 3) + -10
(-6 + 2z) = 4(2 + 3) + -10

Combine like terms: 2 + 3 = 5
-6 + 2z = 4(5) + -10

Multiply 4 * 5
-6 + 2z = 20 + -10

Combine like terms: 20 + -10 = 10
-6 + 2z = 10

Solving
-6 + 2z = 10

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 2z = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2z = 10 + 6
2z = 10 + 6

Combine like terms: 10 + 6 = 16
2z = 16

Divide each side by '2'.
z = 8

Simplifying
z = 8