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

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


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

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

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

Reorder the terms:
-6 + 8 + 3x + 2x = 9

Combine like terms: -6 + 8 = 2
2 + 3x + 2x = 9

Combine like terms: 3x + 2x = 5x
2 + 5x = 9

Solving
2 + 5x = 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 + 5x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 9 + -2
5x = 9 + -2

Combine like terms: 9 + -2 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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