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

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

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

Reorder the terms:
3(2 + x) = -7(4 + -2x)
(2 * 3 + x * 3) = -7(4 + -2x)
(6 + 3x) = -7(4 + -2x)
6 + 3x = (4 * -7 + -2x * -7)
6 + 3x = (-28 + 14x)

Solving
6 + 3x = -28 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + 3x + -14x = -28 + 14x + -14x

Combine like terms: 3x + -14x = -11x
6 + -11x = -28 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -11x = -28 + 0
6 + -11x = -28

Add '-6' to each side of the equation.
6 + -6 + -11x = -28 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -28 + -6
-11x = -28 + -6

Combine like terms: -28 + -6 = -34
-11x = -34

Divide each side by '-11'.
x = 3.090909091

Simplifying
x = 3.090909091