2+2(x-4)=3-4(x-9)

Solution for 2+2(x-4)=3-4(x-9) equation:

Simplifying
2 + 2(x + -4) = 3 + -4(x + -9)

Reorder the terms:
2 + 2(-4 + x) = 3 + -4(x + -9)
2 + (-4 * 2 + x * 2) = 3 + -4(x + -9)
2 + (-8 + 2x) = 3 + -4(x + -9)

Combine like terms: 2 + -8 = -6
-6 + 2x = 3 + -4(x + -9)

Reorder the terms:
-6 + 2x = 3 + -4(-9 + x)
-6 + 2x = 3 + (-9 * -4 + x * -4)
-6 + 2x = 3 + (36 + -4x)

Combine like terms: 3 + 36 = 39
-6 + 2x = 39 + -4x

Solving
-6 + 2x = 39 + -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 + 2x + 4x = 39 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-6 + 6x = 39 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 6x = 39 + 0
-6 + 6x = 39

Add '6' to each side of the equation.
-6 + 6 + 6x = 39 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 39 + 6
6x = 39 + 6

Combine like terms: 39 + 6 = 45
6x = 45

Divide each side by '6'.
x = 7.5

Simplifying
x = 7.5