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

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


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

Reorder the terms:
2(4 + 3x) + -1(x + -3) = 9
(4 * 2 + 3x * 2) + -1(x + -3) = 9
(8 + 6x) + -1(x + -3) = 9

Reorder the terms:
8 + 6x + -1(-3 + x) = 9
8 + 6x + (-3 * -1 + x * -1) = 9
8 + 6x + (3 + -1x) = 9

Reorder the terms:
8 + 3 + 6x + -1x = 9

Combine like terms: 8 + 3 = 11
11 + 6x + -1x = 9

Combine like terms: 6x + -1x = 5x
11 + 5x = 9

Solving
11 + 5x = 9

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 9 + -11
5x = 9 + -11

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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