9x-3(x+6)=2(x+1)

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Solution for 9x-3(x+6)=2(x+1) equation:


Simplifying
9x + -3(x + 6) = 2(x + 1)

Reorder the terms:
9x + -3(6 + x) = 2(x + 1)
9x + (6 * -3 + x * -3) = 2(x + 1)
9x + (-18 + -3x) = 2(x + 1)

Reorder the terms:
-18 + 9x + -3x = 2(x + 1)

Combine like terms: 9x + -3x = 6x
-18 + 6x = 2(x + 1)

Reorder the terms:
-18 + 6x = 2(1 + x)
-18 + 6x = (1 * 2 + x * 2)
-18 + 6x = (2 + 2x)

Solving
-18 + 6x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-18 + 6x + -2x = 2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-18 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 4x = 2 + 0
-18 + 4x = 2

Add '18' to each side of the equation.
-18 + 18 + 4x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 2 + 18
4x = 2 + 18

Combine like terms: 2 + 18 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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