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

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


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

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

Reorder the terms:
3 + 3x = 2(-9 + 3x)
3 + 3x = (-9 * 2 + 3x * 2)
3 + 3x = (-18 + 6x)

Solving
3 + 3x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
3 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -3x = -18 + 0
3 + -3x = -18

Add '-3' to each side of the equation.
3 + -3 + -3x = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -18 + -3
-3x = -18 + -3

Combine like terms: -18 + -3 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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