9=3+6(x-13)

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Solution for 9=3+6(x-13) equation:


Simplifying
9 = 3 + 6(x + -13)

Reorder the terms:
9 = 3 + 6(-13 + x)
9 = 3 + (-13 * 6 + x * 6)
9 = 3 + (-78 + 6x)

Combine like terms: 3 + -78 = -75
9 = -75 + 6x

Solving
9 = -75 + 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.
9 + -6x = -75 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -6x = -75 + 0
9 + -6x = -75

Add '-9' to each side of the equation.
9 + -9 + -6x = -75 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -75 + -9
-6x = -75 + -9

Combine like terms: -75 + -9 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14

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