4(x+5)+x=2(x+2)+2

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Solution for 4(x+5)+x=2(x+2)+2 equation: 


Simplifying
4(x + 5) + x = 2(x + 2) + 2

Reorder the terms:
4(5 + x) + x = 2(x + 2) + 2
(5 * 4 + x * 4) + x = 2(x + 2) + 2
(20 + 4x) + x = 2(x + 2) + 2

Combine like terms: 4x + x = 5x
20 + 5x = 2(x + 2) + 2

Reorder the terms:
20 + 5x = 2(2 + x) + 2
20 + 5x = (2 * 2 + x * 2) + 2
20 + 5x = (4 + 2x) + 2

Reorder the terms:
20 + 5x = 4 + 2 + 2x

Combine like terms: 4 + 2 = 6
20 + 5x = 6 + 2x

Solving
20 + 5x = 6 + 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.
20 + 5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
20 + 3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 3x = 6 + 0
20 + 3x = 6

Add '-20' to each side of the equation.
20 + -20 + 3x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 6 + -20
3x = 6 + -20

Combine like terms: 6 + -20 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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