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

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


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

Reorder the terms:
7(2 + x) + x = 4(x + 2) + 2
(2 * 7 + x * 7) + x = 4(x + 2) + 2
(14 + 7x) + x = 4(x + 2) + 2

Combine like terms: 7x + x = 8x
14 + 8x = 4(x + 2) + 2

Reorder the terms:
14 + 8x = 4(2 + x) + 2
14 + 8x = (2 * 4 + x * 4) + 2
14 + 8x = (8 + 4x) + 2

Reorder the terms:
14 + 8x = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
14 + 8x = 10 + 4x

Solving
14 + 8x = 10 + 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.
14 + 8x + -4x = 10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
14 + 4x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 4x = 10 + 0
14 + 4x = 10

Add '-14' to each side of the equation.
14 + -14 + 4x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 10 + -14
4x = 10 + -14

Combine like terms: 10 + -14 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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