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

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


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

Reorder the terms:
3(-4 + 2x) + 3(x + 1) = 9
(-4 * 3 + 2x * 3) + 3(x + 1) = 9
(-12 + 6x) + 3(x + 1) = 9

Reorder the terms:
-12 + 6x + 3(1 + x) = 9
-12 + 6x + (1 * 3 + x * 3) = 9
-12 + 6x + (3 + 3x) = 9

Reorder the terms:
-12 + 3 + 6x + 3x = 9

Combine like terms: -12 + 3 = -9
-9 + 6x + 3x = 9

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

Solving
-9 + 9x = 9

Solving for variable 'x'.

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

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

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

Combine like terms: 9 + 9 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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