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

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


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

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

Reorder the terms:
1 + x = -6 + -2 + 3x

Combine like terms: -6 + -2 = -8
1 + x = -8 + 3x

Solving
1 + x = -8 + 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.
1 + x + -3x = -8 + 3x + -3x

Combine like terms: x + -3x = -2x
1 + -2x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -2x = -8 + 0
1 + -2x = -8

Add '-1' to each side of the equation.
1 + -1 + -2x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -8 + -1
-2x = -8 + -1

Combine like terms: -8 + -1 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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