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

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

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

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

Combine like terms: 3 + -9 = -6
-6 + 9x = 1 + -4(x + -9)

Reorder the terms:
-6 + 9x = 1 + -4(-9 + x)
-6 + 9x = 1 + (-9 * -4 + x * -4)
-6 + 9x = 1 + (36 + -4x)

Combine like terms: 1 + 36 = 37
-6 + 9x = 37 + -4x

Solving
-6 + 9x = 37 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 9x + 4x = 37 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-6 + 13x = 37 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 13x = 37 + 0
-6 + 13x = 37

Add '6' to each side of the equation.
-6 + 6 + 13x = 37 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 37 + 6
13x = 37 + 6

Combine like terms: 37 + 6 = 43
13x = 43

Divide each side by '13'.
x = 3.307692308

Simplifying
x = 3.307692308