9(7-x)=3(x-2)

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Solution for 9(7-x)=3(x-2) equation:


Simplifying
9(7 + -1x) = 3(x + -2)
(7 * 9 + -1x * 9) = 3(x + -2)
(63 + -9x) = 3(x + -2)

Reorder the terms:
63 + -9x = 3(-2 + x)
63 + -9x = (-2 * 3 + x * 3)
63 + -9x = (-6 + 3x)

Solving
63 + -9x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
63 + -9x + -3x = -6 + 3x + -3x

Combine like terms: -9x + -3x = -12x
63 + -12x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
63 + -12x = -6 + 0
63 + -12x = -6

Add '-63' to each side of the equation.
63 + -63 + -12x = -6 + -63

Combine like terms: 63 + -63 = 0
0 + -12x = -6 + -63
-12x = -6 + -63

Combine like terms: -6 + -63 = -69
-12x = -69

Divide each side by '-12'.
x = 5.75

Simplifying
x = 5.75

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