6(2x-2)=14(2x-4)

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Solution for 6(2x-2)=14(2x-4) equation:


Simplifying
6(2x + -2) = 14(2x + -4)

Reorder the terms:
6(-2 + 2x) = 14(2x + -4)
(-2 * 6 + 2x * 6) = 14(2x + -4)
(-12 + 12x) = 14(2x + -4)

Reorder the terms:
-12 + 12x = 14(-4 + 2x)
-12 + 12x = (-4 * 14 + 2x * 14)
-12 + 12x = (-56 + 28x)

Solving
-12 + 12x = -56 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-12 + 12x + -28x = -56 + 28x + -28x

Combine like terms: 12x + -28x = -16x
-12 + -16x = -56 + 28x + -28x

Combine like terms: 28x + -28x = 0
-12 + -16x = -56 + 0
-12 + -16x = -56

Add '12' to each side of the equation.
-12 + 12 + -16x = -56 + 12

Combine like terms: -12 + 12 = 0
0 + -16x = -56 + 12
-16x = -56 + 12

Combine like terms: -56 + 12 = -44
-16x = -44

Divide each side by '-16'.
x = 2.75

Simplifying
x = 2.75

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