2*(x+5)=6x-30

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Solution for 2*(x+5)=6x-30 equation:


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

Reorder the terms:
2(5 + x) = 6x + -30
(5 * 2 + x * 2) = 6x + -30
(10 + 2x) = 6x + -30

Reorder the terms:
10 + 2x = -30 + 6x

Solving
10 + 2x = -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.
10 + 2x + -6x = -30 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = -30 + 0
10 + -4x = -30

Add '-10' to each side of the equation.
10 + -10 + -4x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -30 + -10
-4x = -30 + -10

Combine like terms: -30 + -10 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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