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

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


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

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

Combine like terms: 7x + x = 8x
28 + 8x = 4(x + 2) + -2

Reorder the terms:
28 + 8x = 4(2 + x) + -2
28 + 8x = (2 * 4 + x * 4) + -2
28 + 8x = (8 + 4x) + -2

Reorder the terms:
28 + 8x = 8 + -2 + 4x

Combine like terms: 8 + -2 = 6
28 + 8x = 6 + 4x

Solving
28 + 8x = 6 + 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.
28 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
28 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 4x = 6 + 0
28 + 4x = 6

Add '-28' to each side of the equation.
28 + -28 + 4x = 6 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = 6 + -28
4x = 6 + -28

Combine like terms: 6 + -28 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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