2(3x-1)=16+2(x-3)

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Solution for 2(3x-1)=16+2(x-3) equation:


Simplifying
2(3x + -1) = 16 + 2(x + -3)

Reorder the terms:
2(-1 + 3x) = 16 + 2(x + -3)
(-1 * 2 + 3x * 2) = 16 + 2(x + -3)
(-2 + 6x) = 16 + 2(x + -3)

Reorder the terms:
-2 + 6x = 16 + 2(-3 + x)
-2 + 6x = 16 + (-3 * 2 + x * 2)
-2 + 6x = 16 + (-6 + 2x)

Combine like terms: 16 + -6 = 10
-2 + 6x = 10 + 2x

Solving
-2 + 6x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 6x + -2x = 10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2 + 4x = 10 + 0
-2 + 4x = 10

Add '2' to each side of the equation.
-2 + 2 + 4x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 10 + 2
4x = 10 + 2

Combine like terms: 10 + 2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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