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

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


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

Reorder the terms:
9(-2 + x) = 3(x + -7)
(-2 * 9 + x * 9) = 3(x + -7)
(-18 + 9x) = 3(x + -7)

Reorder the terms:
-18 + 9x = 3(-7 + x)
-18 + 9x = (-7 * 3 + x * 3)
-18 + 9x = (-21 + 3x)

Solving
-18 + 9x = -21 + 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.
-18 + 9x + -3x = -21 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-18 + 6x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 6x = -21 + 0
-18 + 6x = -21

Add '18' to each side of the equation.
-18 + 18 + 6x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -21 + 18
6x = -21 + 18

Combine like terms: -21 + 18 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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