4x-3-7(6-x)=10

Solution for 4x-3-7(6-x)=10 equation:

Simplifying
4x + -3 + -7(6 + -1x) = 10
4x + -3 + (6 * -7 + -1x * -7) = 10
4x + -3 + (-42 + 7x) = 10

Reorder the terms:
-3 + -42 + 4x + 7x = 10

Combine like terms: -3 + -42 = -45
-45 + 4x + 7x = 10

Combine like terms: 4x + 7x = 11x
-45 + 11x = 10

Solving
-45 + 11x = 10

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 11x = 10 + 45

Combine like terms: -45 + 45 = 0
0 + 11x = 10 + 45
11x = 10 + 45

Combine like terms: 10 + 45 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5