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

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


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

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

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

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

Combine like terms: -3 + -8 = -11
-11 + 6x + -2x = 9

Combine like terms: 6x + -2x = 4x
-11 + 4x = 9

Solving
-11 + 4x = 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 + 4x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 9 + 11
4x = 9 + 11

Combine like terms: 9 + 11 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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