3(x-3)=(1.5+x)

Solution for 3(x-3)=(1.5+x) equation:

Simplifying
3(x + -3) = (1.5 + x)

Reorder the terms:
3(-3 + x) = (1.5 + x)
(-3 * 3 + x * 3) = (1.5 + x)
(-9 + 3x) = (1.5 + x)

Remove parenthesis around (1.5 + x)
-9 + 3x = 1.5 + x

Solving
-9 + 3x = 1.5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 3x + -1x = 1.5 + x + -1x

Combine like terms: 3x + -1x = 2x
-9 + 2x = 1.5 + x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = 1.5 + 0
-9 + 2x = 1.5

Add '9' to each side of the equation.
-9 + 9 + 2x = 1.5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 1.5 + 9
2x = 1.5 + 9

Combine like terms: 1.5 + 9 = 10.5
2x = 10.5

Divide each side by '2'.
x = 5.25

Simplifying
x = 5.25