170=x+2(x+1)+3(x+2)

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Solution for 170=x+2(x+1)+3(x+2) equation: 


Simplifying
170 = x + 2(x + 1) + 3(x + 2)

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

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

Reorder the terms:
170 = 2 + 6 + x + 2x + 3x

Combine like terms: 2 + 6 = 8
170 = 8 + x + 2x + 3x

Combine like terms: x + 2x = 3x
170 = 8 + 3x + 3x

Combine like terms: 3x + 3x = 6x
170 = 8 + 6x

Solving
170 = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
170 + -6x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
170 + -6x = 8 + 0
170 + -6x = 8

Add '-170' to each side of the equation.
170 + -170 + -6x = 8 + -170

Combine like terms: 170 + -170 = 0
0 + -6x = 8 + -170
-6x = 8 + -170

Combine like terms: 8 + -170 = -162
-6x = -162

Divide each side by '-6'.
x = 27

Simplifying
x = 27

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