x+3(x-1)=6-4(2y+3)

Solution for x+3(x-1)=6-4(2y+3) equation:

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

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

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

Combine like terms: x + 3x = 4x
-3 + 4x = 6 + -4(2y + 3)

Reorder the terms:
-3 + 4x = 6 + -4(3 + 2y)
-3 + 4x = 6 + (3 * -4 + 2y * -4)
-3 + 4x = 6 + (-12 + -8y)

Combine like terms: 6 + -12 = -6
-3 + 4x = -6 + -8y

Solving
-3 + 4x = -6 + -8y

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x = -6 + 3 + -8y

Combine like terms: -3 + 3 = 0
0 + 4x = -6 + 3 + -8y
4x = -6 + 3 + -8y

Combine like terms: -6 + 3 = -3
4x = -3 + -8y

Divide each side by '4'.
x = -0.75 + -2y

Simplifying
x = -0.75 + -2y