4(x-3)+6=10

Solution for 4(x-3)+6=10 equation:

Simplifying
4(x + -3) + 6 = 10

Reorder the terms:
4(-3 + x) + 6 = 10
(-3 * 4 + x * 4) + 6 = 10
(-12 + 4x) + 6 = 10

Reorder the terms:
-12 + 6 + 4x = 10

Combine like terms: -12 + 6 = -6
-6 + 4x = 10

Solving
-6 + 4x = 10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4