2(2x-1)=6(x+2)

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Solution for 2(2x-1)=6(x+2) equation:


Simplifying
2(2x + -1) = 6(x + 2)

Reorder the terms:
2(-1 + 2x) = 6(x + 2)
(-1 * 2 + 2x * 2) = 6(x + 2)
(-2 + 4x) = 6(x + 2)

Reorder the terms:
-2 + 4x = 6(2 + x)
-2 + 4x = (2 * 6 + x * 6)
-2 + 4x = (12 + 6x)

Solving
-2 + 4x = 12 + 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.
-2 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-2 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -2x = 12 + 0
-2 + -2x = 12

Add '2' to each side of the equation.
-2 + 2 + -2x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 12 + 2
-2x = 12 + 2

Combine like terms: 12 + 2 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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