2(2x+1)-(x-4)=4(x+5)

Solution for 2(2x+1)-(x-4)=4(x+5) equation:

Simplifying
2(2x + 1) + -1(x + -4) = 4(x + 5)

Reorder the terms:
2(1 + 2x) + -1(x + -4) = 4(x + 5)
(1 * 2 + 2x * 2) + -1(x + -4) = 4(x + 5)
(2 + 4x) + -1(x + -4) = 4(x + 5)

Reorder the terms:
2 + 4x + -1(-4 + x) = 4(x + 5)
2 + 4x + (-4 * -1 + x * -1) = 4(x + 5)
2 + 4x + (4 + -1x) = 4(x + 5)

Reorder the terms:
2 + 4 + 4x + -1x = 4(x + 5)

Combine like terms: 2 + 4 = 6
6 + 4x + -1x = 4(x + 5)

Combine like terms: 4x + -1x = 3x
6 + 3x = 4(x + 5)

Reorder the terms:
6 + 3x = 4(5 + x)
6 + 3x = (5 * 4 + x * 4)
6 + 3x = (20 + 4x)

Solving
6 + 3x = 20 + 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 + 3x + -4x = 20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 20 + 0
6 + -1x = 20

Add '-6' to each side of the equation.
6 + -6 + -1x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 20 + -6
-1x = 20 + -6

Combine like terms: 20 + -6 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14