4(x-7)+2(3+x)=-2(x+1)

Solution for 4(x-7)+2(3+x)=-2(x+1) equation:

Simplifying
4(x + -7) + 2(3 + x) = -2(x + 1)

Reorder the terms:
4(-7 + x) + 2(3 + x) = -2(x + 1)
(-7 * 4 + x * 4) + 2(3 + x) = -2(x + 1)
(-28 + 4x) + 2(3 + x) = -2(x + 1)
-28 + 4x + (3 * 2 + x * 2) = -2(x + 1)
-28 + 4x + (6 + 2x) = -2(x + 1)

Reorder the terms:
-28 + 6 + 4x + 2x = -2(x + 1)

Combine like terms: -28 + 6 = -22
-22 + 4x + 2x = -2(x + 1)

Combine like terms: 4x + 2x = 6x
-22 + 6x = -2(x + 1)

Reorder the terms:
-22 + 6x = -2(1 + x)
-22 + 6x = (1 * -2 + x * -2)
-22 + 6x = (-2 + -2x)

Solving
-22 + 6x = -2 + -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.
-22 + 6x + 2x = -2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-22 + 8x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-22 + 8x = -2 + 0
-22 + 8x = -2

Add '22' to each side of the equation.
-22 + 22 + 8x = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 8x = -2 + 22
8x = -2 + 22

Combine like terms: -2 + 22 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5