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

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

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

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

Combine like terms: 2 + 3 = 5
5 + 4 + x + x + x + x = 7(x + 4)

Combine like terms: 5 + 4 = 9
9 + x + x + x + x = 7(x + 4)

Combine like terms: x + x = 2x
9 + 2x + x + x = 7(x + 4)

Combine like terms: 2x + x = 3x
9 + 3x + x = 7(x + 4)

Combine like terms: 3x + x = 4x
9 + 4x = 7(x + 4)

Reorder the terms:
9 + 4x = 7(4 + x)
9 + 4x = (4 * 7 + x * 7)
9 + 4x = (28 + 7x)

Solving
9 + 4x = 28 + 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.
9 + 4x + -7x = 28 + 7x + -7x

Combine like terms: 4x + -7x = -3x
9 + -3x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -3x = 28 + 0
9 + -3x = 28

Add '-9' to each side of the equation.
9 + -9 + -3x = 28 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 28 + -9
-3x = 28 + -9

Combine like terms: 28 + -9 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333