3(x-5)=3(2x+6)

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Solution for 3(x-5)=3(2x+6) equation:


Simplifying
3(x + -5) = 3(2x + 6)

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

Reorder the terms:
-15 + 3x = 3(6 + 2x)
-15 + 3x = (6 * 3 + 2x * 3)
-15 + 3x = (18 + 6x)

Solving
-15 + 3x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 3x + -6x = 18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-15 + -3x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -3x = 18 + 0
-15 + -3x = 18

Add '15' to each side of the equation.
-15 + 15 + -3x = 18 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 18 + 15
-3x = 18 + 15

Combine like terms: 18 + 15 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11

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