3(5-x)=3(x-2)

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Solution for 3(5-x)=3(x-2) equation:


Simplifying
3(5 + -1x) = 3(x + -2)
(5 * 3 + -1x * 3) = 3(x + -2)
(15 + -3x) = 3(x + -2)

Reorder the terms:
15 + -3x = 3(-2 + x)
15 + -3x = (-2 * 3 + x * 3)
15 + -3x = (-6 + 3x)

Solving
15 + -3x = -6 + 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.
15 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
15 + -6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -6x = -6 + 0
15 + -6x = -6

Add '-15' to each side of the equation.
15 + -15 + -6x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -6 + -15
-6x = -6 + -15

Combine like terms: -6 + -15 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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