2(2x+3)=4-1(2x+5)

Solution for 2(2x+3)=4-1(2x+5) equation:

Simplifying
2(2x + 3) = 4 + -1(2x + 5)

Reorder the terms:
2(3 + 2x) = 4 + -1(2x + 5)
(3 * 2 + 2x * 2) = 4 + -1(2x + 5)
(6 + 4x) = 4 + -1(2x + 5)

Reorder the terms:
6 + 4x = 4 + -1(5 + 2x)
6 + 4x = 4 + (5 * -1 + 2x * -1)
6 + 4x = 4 + (-5 + -2x)

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

Solving
6 + 4x = -1 + -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.
6 + 4x + 2x = -1 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + 6x = -1 + 0
6 + 6x = -1

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

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

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

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667