18-3(x-9)=6(-x+2)

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Solution for 18-3(x-9)=6(-x+2) equation:


Simplifying
18 + -3(x + -9) = 6(-1x + 2)

Reorder the terms:
18 + -3(-9 + x) = 6(-1x + 2)
18 + (-9 * -3 + x * -3) = 6(-1x + 2)
18 + (27 + -3x) = 6(-1x + 2)

Combine like terms: 18 + 27 = 45
45 + -3x = 6(-1x + 2)

Reorder the terms:
45 + -3x = 6(2 + -1x)
45 + -3x = (2 * 6 + -1x * 6)
45 + -3x = (12 + -6x)

Solving
45 + -3x = 12 + -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.
45 + -3x + 6x = 12 + -6x + 6x

Combine like terms: -3x + 6x = 3x
45 + 3x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
45 + 3x = 12 + 0
45 + 3x = 12

Add '-45' to each side of the equation.
45 + -45 + 3x = 12 + -45

Combine like terms: 45 + -45 = 0
0 + 3x = 12 + -45
3x = 12 + -45

Combine like terms: 12 + -45 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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