3(2x-5)=-3(8-x)

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Solution for 3(2x-5)=-3(8-x) equation:


Simplifying
3(2x + -5) = -3(8 + -1x)

Reorder the terms:
3(-5 + 2x) = -3(8 + -1x)
(-5 * 3 + 2x * 3) = -3(8 + -1x)
(-15 + 6x) = -3(8 + -1x)
-15 + 6x = (8 * -3 + -1x * -3)
-15 + 6x = (-24 + 3x)

Solving
-15 + 6x = -24 + 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 + 6x + -3x = -24 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-15 + 3x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 3x = -24 + 0
-15 + 3x = -24

Add '15' to each side of the equation.
-15 + 15 + 3x = -24 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -24 + 15
3x = -24 + 15

Combine like terms: -24 + 15 = -9
3x = -9

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

Simplifying
x = -3

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