2(x-3)=4+7x

Solution for 2(x-3)=4+7x equation:

Simplifying
2(x + -3) = 4 + 7x

Reorder the terms:
2(-3 + x) = 4 + 7x
(-3 * 2 + x * 2) = 4 + 7x
(-6 + 2x) = 4 + 7x

Solving
-6 + 2x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 2x + -7x = 4 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-6 + -5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -5x = 4 + 0
-6 + -5x = 4

Add '6' to each side of the equation.
-6 + 6 + -5x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 4 + 6
-5x = 4 + 6

Combine like terms: 4 + 6 = 10
-5x = 10

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

Simplifying
x = -2