4(x-1)=3(x+3)-(x-9)

Solution for 4(x-1)=3(x+3)-(x-9) equation:

Simplifying
4(x + -1) = 3(x + 3) + -1(x + -9)

Reorder the terms:
4(-1 + x) = 3(x + 3) + -1(x + -9)
(-1 * 4 + x * 4) = 3(x + 3) + -1(x + -9)
(-4 + 4x) = 3(x + 3) + -1(x + -9)

Reorder the terms:
-4 + 4x = 3(3 + x) + -1(x + -9)
-4 + 4x = (3 * 3 + x * 3) + -1(x + -9)
-4 + 4x = (9 + 3x) + -1(x + -9)

Reorder the terms:
-4 + 4x = 9 + 3x + -1(-9 + x)
-4 + 4x = 9 + 3x + (-9 * -1 + x * -1)
-4 + 4x = 9 + 3x + (9 + -1x)

Reorder the terms:
-4 + 4x = 9 + 9 + 3x + -1x

Combine like terms: 9 + 9 = 18
-4 + 4x = 18 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-4 + 4x = 18 + 2x

Solving
-4 + 4x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 4x + -2x = 18 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-4 + 2x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 2x = 18 + 0
-4 + 2x = 18

Add '4' to each side of the equation.
-4 + 4 + 2x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 18 + 4
2x = 18 + 4

Combine like terms: 18 + 4 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11