x+2(x+1)=80-3(x+2)

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Solution for x+2(x+1)=80-3(x+2) equation: 


Simplifying
x + 2(x + 1) = 80 + -3(x + 2)

Reorder the terms:
x + 2(1 + x) = 80 + -3(x + 2)
x + (1 * 2 + x * 2) = 80 + -3(x + 2)
x + (2 + 2x) = 80 + -3(x + 2)

Reorder the terms:
2 + x + 2x = 80 + -3(x + 2)

Combine like terms: x + 2x = 3x
2 + 3x = 80 + -3(x + 2)

Reorder the terms:
2 + 3x = 80 + -3(2 + x)
2 + 3x = 80 + (2 * -3 + x * -3)
2 + 3x = 80 + (-6 + -3x)

Combine like terms: 80 + -6 = 74
2 + 3x = 74 + -3x

Solving
2 + 3x = 74 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
2 + 3x + 3x = 74 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = 74 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 74 + 0
2 + 6x = 74

Add '-2' to each side of the equation.
2 + -2 + 6x = 74 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 74 + -2
6x = 74 + -2

Combine like terms: 74 + -2 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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