3(x+8)+x=2(x+5)+2

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Solution for 3(x+8)+x=2(x+5)+2 equation: 


Simplifying
3(x + 8) + x = 2(x + 5) + 2

Reorder the terms:
3(8 + x) + x = 2(x + 5) + 2
(8 * 3 + x * 3) + x = 2(x + 5) + 2
(24 + 3x) + x = 2(x + 5) + 2

Combine like terms: 3x + x = 4x
24 + 4x = 2(x + 5) + 2

Reorder the terms:
24 + 4x = 2(5 + x) + 2
24 + 4x = (5 * 2 + x * 2) + 2
24 + 4x = (10 + 2x) + 2

Reorder the terms:
24 + 4x = 10 + 2 + 2x

Combine like terms: 10 + 2 = 12
24 + 4x = 12 + 2x

Solving
24 + 4x = 12 + 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.
24 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
24 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 2x = 12 + 0
24 + 2x = 12

Add '-24' to each side of the equation.
24 + -24 + 2x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 12 + -24
2x = 12 + -24

Combine like terms: 12 + -24 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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