2(x-3)-6(x-2)=4X+4.5

Solution for 2(x-3)-6(x-2)=4X+4.5 equation:

Simplifying
2(x + -3) + -6(x + -2) = 4X + 4.5

Reorder the terms:
2(-3 + x) + -6(x + -2) = 4X + 4.5
(-3 * 2 + x * 2) + -6(x + -2) = 4X + 4.5
(-6 + 2x) + -6(x + -2) = 4X + 4.5

Reorder the terms:
-6 + 2x + -6(-2 + x) = 4X + 4.5
-6 + 2x + (-2 * -6 + x * -6) = 4X + 4.5
-6 + 2x + (12 + -6x) = 4X + 4.5

Reorder the terms:
-6 + 12 + 2x + -6x = 4X + 4.5

Combine like terms: -6 + 12 = 6
6 + 2x + -6x = 4X + 4.5

Combine like terms: 2x + -6x = -4x
6 + -4x = 4X + 4.5

Reorder the terms:
6 + -4x = 4.5 + 4X

Solving
6 + -4x = 4.5 + 4X

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -4x = 4.5 + -6 + 4X

Combine like terms: 6 + -6 = 0
0 + -4x = 4.5 + -6 + 4X
-4x = 4.5 + -6 + 4X

Combine like terms: 4.5 + -6 = -1.5
-4x = -1.5 + 4X

Divide each side by '-4'.
x = 0.375 + -1X

Simplifying
x = 0.375 + -1X