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

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

Simplifying
4x + 3 = (2(x + -3))

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

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

Remove parenthesis around (-6 + 2x)
3 + 4x = -6 + 2x

Solving
3 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 4x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 2x = -6 + 0
3 + 2x = -6

Add '-3' to each side of the equation.
3 + -3 + 2x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -6 + -3
2x = -6 + -3

Combine like terms: -6 + -3 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5