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

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


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

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

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

Reorder the terms:
4 + -6 + 2x + -9x = -9

Combine like terms: 4 + -6 = -2
-2 + 2x + -9x = -9

Combine like terms: 2x + -9x = -7x
-2 + -7x = -9

Solving
-2 + -7x = -9

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -7x = -9 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -9 + 2
-7x = -9 + 2

Combine like terms: -9 + 2 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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