-6+4(2X+3)=5X-3(2X+1)

Solution for -6+4(2X+3)=5X-3(2X+1) equation:

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

Reorder the terms:
-6 + 4(3 + 2X) = 5X + -3(2X + 1)
-6 + (3 * 4 + 2X * 4) = 5X + -3(2X + 1)
-6 + (12 + 8X) = 5X + -3(2X + 1)

Combine like terms: -6 + 12 = 6
6 + 8X = 5X + -3(2X + 1)

Reorder the terms:
6 + 8X = 5X + -3(1 + 2X)
6 + 8X = 5X + (1 * -3 + 2X * -3)
6 + 8X = 5X + (-3 + -6X)

Reorder the terms:
6 + 8X = -3 + 5X + -6X

Combine like terms: 5X + -6X = -1X
6 + 8X = -3 + -1X

Solving
6 + 8X = -3 + -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 + 8X + X = -3 + -1X + X

Combine like terms: 8X + X = 9X
6 + 9X = -3 + -1X + X

Combine like terms: -1X + X = 0
6 + 9X = -3 + 0
6 + 9X = -3

Add '-6' to each side of the equation.
6 + -6 + 9X = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9X = -3 + -6
9X = -3 + -6

Combine like terms: -3 + -6 = -9
9X = -9

Divide each side by '9'.
X = -1

Simplifying
X = -1