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

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


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

Reorder the terms:
-3(5 + x) = 3(x + -2)
(5 * -3 + x * -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 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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