2-(3x+1)=10+3(x+3)

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Solution for 2-(3x+1)=10+3(x+3) equation:


Simplifying
2 + -1(3x + 1) = 10 + 3(x + 3)

Reorder the terms:
2 + -1(1 + 3x) = 10 + 3(x + 3)
2 + (1 * -1 + 3x * -1) = 10 + 3(x + 3)
2 + (-1 + -3x) = 10 + 3(x + 3)

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

Reorder the terms:
1 + -3x = 10 + 3(3 + x)
1 + -3x = 10 + (3 * 3 + x * 3)
1 + -3x = 10 + (9 + 3x)

Combine like terms: 10 + 9 = 19
1 + -3x = 19 + 3x

Solving
1 + -3x = 19 + 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 + -3x + -3x = 19 + 3x + -3x

Combine like terms: -3x + -3x = -6x
1 + -6x = 19 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -6x = 19 + 0
1 + -6x = 19

Add '-1' to each side of the equation.
1 + -1 + -6x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 19 + -1
-6x = 19 + -1

Combine like terms: 19 + -1 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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