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

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

Simplifying
4x + 2(3 + -2x) = 4 + -3(2x + 5) + -1
4x + (3 * 2 + -2x * 2) = 4 + -3(2x + 5) + -1
4x + (6 + -4x) = 4 + -3(2x + 5) + -1

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

Combine like terms: 4x + -4x = 0
6 + 0 = 4 + -3(2x + 5) + -1
6 = 4 + -3(2x + 5) + -1

Reorder the terms:
6 = 4 + -3(5 + 2x) + -1
6 = 4 + (5 * -3 + 2x * -3) + -1
6 = 4 + (-15 + -6x) + -1

Reorder the terms:
6 = 4 + -15 + -1 + -6x

Combine like terms: 4 + -15 = -11
6 = -11 + -1 + -6x

Combine like terms: -11 + -1 = -12
6 = -12 + -6x

Solving
6 = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
6 + 6x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 6x = -12 + 0
6 + 6x = -12

Add '-6' to each side of the equation.
6 + -6 + 6x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -12 + -6
6x = -12 + -6

Combine like terms: -12 + -6 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3