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

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

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

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

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

Solving
-6 + 2x = 4 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-6 + -2x = 4 + 0
-6 + -2x = 4

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

Combine like terms: -6 + 6 = 0
0 + -2x = 4 + 6
-2x = 4 + 6

Combine like terms: 4 + 6 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5