3(16-x)=2(27-3x)

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Solution for 3(16-x)=2(27-3x) equation:


Simplifying
3(16 + -1x) = 2(27 + -3x)
(16 * 3 + -1x * 3) = 2(27 + -3x)
(48 + -3x) = 2(27 + -3x)
48 + -3x = (27 * 2 + -3x * 2)
48 + -3x = (54 + -6x)

Solving
48 + -3x = 54 + -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.
48 + -3x + 6x = 54 + -6x + 6x

Combine like terms: -3x + 6x = 3x
48 + 3x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
48 + 3x = 54 + 0
48 + 3x = 54

Add '-48' to each side of the equation.
48 + -48 + 3x = 54 + -48

Combine like terms: 48 + -48 = 0
0 + 3x = 54 + -48
3x = 54 + -48

Combine like terms: 54 + -48 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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