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

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


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

Reorder the terms:
2(6 + 3x) = 2(5x)
(6 * 2 + 3x * 2) = 2(5x)
(12 + 6x) = 2(5x)

Remove parenthesis around (5x)
12 + 6x = 2 * 5x

Multiply 2 * 5
12 + 6x = 10x

Solving
12 + 6x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 6x + -10x = 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = 0

Add '-12' to each side of the equation.
12 + -12 + -4x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 0 + -12
-4x = 0 + -12

Combine like terms: 0 + -12 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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