3(23-x)=15-(x-6)

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Solution for 3(23-x)=15-(x-6) equation:


Simplifying
3(23 + -1x) = 15 + -1(x + -6)
(23 * 3 + -1x * 3) = 15 + -1(x + -6)
(69 + -3x) = 15 + -1(x + -6)

Reorder the terms:
69 + -3x = 15 + -1(-6 + x)
69 + -3x = 15 + (-6 * -1 + x * -1)
69 + -3x = 15 + (6 + -1x)

Combine like terms: 15 + 6 = 21
69 + -3x = 21 + -1x

Solving
69 + -3x = 21 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
69 + -3x + x = 21 + -1x + x

Combine like terms: -3x + x = -2x
69 + -2x = 21 + -1x + x

Combine like terms: -1x + x = 0
69 + -2x = 21 + 0
69 + -2x = 21

Add '-69' to each side of the equation.
69 + -69 + -2x = 21 + -69

Combine like terms: 69 + -69 = 0
0 + -2x = 21 + -69
-2x = 21 + -69

Combine like terms: 21 + -69 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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