3=5(x-3)-(x-6)

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Solution for 3=5(x-3)-(x-6) equation:


Simplifying
3 = 5(x + -3) + -1(x + -6)

Reorder the terms:
3 = 5(-3 + x) + -1(x + -6)
3 = (-3 * 5 + x * 5) + -1(x + -6)
3 = (-15 + 5x) + -1(x + -6)

Reorder the terms:
3 = -15 + 5x + -1(-6 + x)
3 = -15 + 5x + (-6 * -1 + x * -1)
3 = -15 + 5x + (6 + -1x)

Reorder the terms:
3 = -15 + 6 + 5x + -1x

Combine like terms: -15 + 6 = -9
3 = -9 + 5x + -1x

Combine like terms: 5x + -1x = 4x
3 = -9 + 4x

Solving
3 = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -4x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -4x = -9 + 0
3 + -4x = -9

Add '-3' to each side of the equation.
3 + -3 + -4x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -9 + -3
-4x = -9 + -3

Combine like terms: -9 + -3 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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