2-x=3[x+3]+1

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Solution for 2-x=3[x+3]+1 equation:


Simplifying
2 + -1x = 3[x + 3] + 1

Reorder the terms:
2 + -1x = 3[3 + x] + 1
2 + -1x = [3 * 3 + x * 3] + 1
2 + -1x = [9 + 3x] + 1

Reorder the terms:
2 + -1x = 9 + 1 + 3x

Combine like terms: 9 + 1 = 10
2 + -1x = 10 + 3x

Solving
2 + -1x = 10 + 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 + -1x + -3x = 10 + 3x + -3x

Combine like terms: -1x + -3x = -4x
2 + -4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -4x = 10 + 0
2 + -4x = 10

Add '-2' to each side of the equation.
2 + -2 + -4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 10 + -2
-4x = 10 + -2

Combine like terms: 10 + -2 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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