44x-[3(x-12)+1]=10

Solution for 44x-[3(x-12)+1]=10 equation:

Simplifying
44x + -1[3(x + -12) + 1] = 10

Reorder the terms:
44x + -1[3(-12 + x) + 1] = 10
44x + -1[(-12 * 3 + x * 3) + 1] = 10
44x + -1[(-36 + 3x) + 1] = 10

Reorder the terms:
44x + -1[-36 + 1 + 3x] = 10

Combine like terms: -36 + 1 = -35
44x + -1[-35 + 3x] = 10
44x + [-35 * -1 + 3x * -1] = 10
44x + [35 + -3x] = 10

Reorder the terms:
35 + 44x + -3x = 10

Combine like terms: 44x + -3x = 41x
35 + 41x = 10

Solving
35 + 41x = 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 + 41x = 10 + -35

Combine like terms: 35 + -35 = 0
0 + 41x = 10 + -35
41x = 10 + -35

Combine like terms: 10 + -35 = -25
41x = -25

Divide each side by '41'.
x = -0.6097560976

Simplifying
x = -0.6097560976