2(3x-1)-(x+2)=3(x+1)+9

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Solution for 2(3x-1)-(x+2)=3(x+1)+9 equation:


Simplifying
2(3x + -1) + -1(x + 2) = 3(x + 1) + 9

Reorder the terms:
2(-1 + 3x) + -1(x + 2) = 3(x + 1) + 9
(-1 * 2 + 3x * 2) + -1(x + 2) = 3(x + 1) + 9
(-2 + 6x) + -1(x + 2) = 3(x + 1) + 9

Reorder the terms:
-2 + 6x + -1(2 + x) = 3(x + 1) + 9
-2 + 6x + (2 * -1 + x * -1) = 3(x + 1) + 9
-2 + 6x + (-2 + -1x) = 3(x + 1) + 9

Reorder the terms:
-2 + -2 + 6x + -1x = 3(x + 1) + 9

Combine like terms: -2 + -2 = -4
-4 + 6x + -1x = 3(x + 1) + 9

Combine like terms: 6x + -1x = 5x
-4 + 5x = 3(x + 1) + 9

Reorder the terms:
-4 + 5x = 3(1 + x) + 9
-4 + 5x = (1 * 3 + x * 3) + 9
-4 + 5x = (3 + 3x) + 9

Reorder the terms:
-4 + 5x = 3 + 9 + 3x

Combine like terms: 3 + 9 = 12
-4 + 5x = 12 + 3x

Solving
-4 + 5x = 12 + 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.
-4 + 5x + -3x = 12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = 12 + 0
-4 + 2x = 12

Add '4' to each side of the equation.
-4 + 4 + 2x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 12 + 4
2x = 12 + 4

Combine like terms: 12 + 4 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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