3(x+4)-1=2(x-2)+9

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Solution for 3(x+4)-1=2(x-2)+9 equation: 


Simplifying
3(x + 4) + -1 = 2(x + -2) + 9

Reorder the terms:
3(4 + x) + -1 = 2(x + -2) + 9
(4 * 3 + x * 3) + -1 = 2(x + -2) + 9
(12 + 3x) + -1 = 2(x + -2) + 9

Reorder the terms:
12 + -1 + 3x = 2(x + -2) + 9

Combine like terms: 12 + -1 = 11
11 + 3x = 2(x + -2) + 9

Reorder the terms:
11 + 3x = 2(-2 + x) + 9
11 + 3x = (-2 * 2 + x * 2) + 9
11 + 3x = (-4 + 2x) + 9

Reorder the terms:
11 + 3x = -4 + 9 + 2x

Combine like terms: -4 + 9 = 5
11 + 3x = 5 + 2x

Solving
11 + 3x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
11 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 1x = 5 + 0
11 + 1x = 5

Add '-11' to each side of the equation.
11 + -11 + 1x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 5 + -11
1x = 5 + -11

Combine like terms: 5 + -11 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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