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

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

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

Reorder the terms:
2(3 + x) + 4x = 4 + -1(x + -9)
(3 * 2 + x * 2) + 4x = 4 + -1(x + -9)
(6 + 2x) + 4x = 4 + -1(x + -9)

Combine like terms: 2x + 4x = 6x
6 + 6x = 4 + -1(x + -9)

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

Combine like terms: 4 + 9 = 13
6 + 6x = 13 + -1x

Solving
6 + 6x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 6x + x = 13 + -1x + x

Combine like terms: 6x + x = 7x
6 + 7x = 13 + -1x + x

Combine like terms: -1x + x = 0
6 + 7x = 13 + 0
6 + 7x = 13

Add '-6' to each side of the equation.
6 + -6 + 7x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 13 + -6
7x = 13 + -6

Combine like terms: 13 + -6 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1