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

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


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

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

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

Reorder the terms:
-8 + -3 + 4x + -3x = 9

Combine like terms: -8 + -3 = -11
-11 + 4x + -3x = 9

Combine like terms: 4x + -3x = 1x
-11 + 1x = 9

Solving
-11 + 1x = 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 + 1x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 9 + 11
1x = 9 + 11

Combine like terms: 9 + 11 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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