4x-[3(x-12)+1]=10

Solution for 4x-[3(x-12)+1]=10 equation:

Simplifying
4x + -1[3(x + -12) + 1] = 10

Reorder the terms:
4x + -1[3(-12 + x) + 1] = 10
4x + -1[(-12 * 3 + x * 3) + 1] = 10
4x + -1[(-36 + 3x) + 1] = 10

Reorder the terms:
4x + -1[-36 + 1 + 3x] = 10

Combine like terms: -36 + 1 = -35
4x + -1[-35 + 3x] = 10
4x + [-35 * -1 + 3x * -1] = 10
4x + [35 + -3x] = 10

Reorder the terms:
35 + 4x + -3x = 10

Combine like terms: 4x + -3x = 1x
35 + 1x = 10

Solving
35 + 1x = 10

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 1x = 10 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = 10 + -35
1x = 10 + -35

Combine like terms: 10 + -35 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25