15-6(x-1)=3(x-3)

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Solution for 15-6(x-1)=3(x-3) equation:


Simplifying
15 + -6(x + -1) = 3(x + -3)

Reorder the terms:
15 + -6(-1 + x) = 3(x + -3)
15 + (-1 * -6 + x * -6) = 3(x + -3)
15 + (6 + -6x) = 3(x + -3)

Combine like terms: 15 + 6 = 21
21 + -6x = 3(x + -3)

Reorder the terms:
21 + -6x = 3(-3 + x)
21 + -6x = (-3 * 3 + x * 3)
21 + -6x = (-9 + 3x)

Solving
21 + -6x = -9 + 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.
21 + -6x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
21 + -9x = -9 + 0
21 + -9x = -9

Add '-21' to each side of the equation.
21 + -21 + -9x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -9 + -21
-9x = -9 + -21

Combine like terms: -9 + -21 = -30
-9x = -30

Divide each side by '-9'.
x = 3.333333333

Simplifying
x = 3.333333333

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