3(x-5)=6x+30

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Solution for 3(x-5)=6x+30 equation:


Simplifying
3(x + -5) = 6x + 30

Reorder the terms:
3(-5 + x) = 6x + 30
(-5 * 3 + x * 3) = 6x + 30
(-15 + 3x) = 6x + 30

Reorder the terms:
-15 + 3x = 30 + 6x

Solving
-15 + 3x = 30 + 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 = 30 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-15 + -3x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -3x = 30 + 0
-15 + -3x = 30

Add '15' to each side of the equation.
-15 + 15 + -3x = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 30 + 15
-3x = 30 + 15

Combine like terms: 30 + 15 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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