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

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


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

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

Reorder the terms:
-6 + 2x = 2(3 + 2x)
-6 + 2x = (3 * 2 + 2x * 2)
-6 + 2x = (6 + 4x)

Solving
-6 + 2x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 2x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + -2x = 6 + 0
-6 + -2x = 6

Add '6' to each side of the equation.
-6 + 6 + -2x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 6 + 6
-2x = 6 + 6

Combine like terms: 6 + 6 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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