3(2x-4)=6+2(x+5)

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Solution for 3(2x-4)=6+2(x+5) equation:


Simplifying
3(2x + -4) = 6 + 2(x + 5)

Reorder the terms:
3(-4 + 2x) = 6 + 2(x + 5)
(-4 * 3 + 2x * 3) = 6 + 2(x + 5)
(-12 + 6x) = 6 + 2(x + 5)

Reorder the terms:
-12 + 6x = 6 + 2(5 + x)
-12 + 6x = 6 + (5 * 2 + x * 2)
-12 + 6x = 6 + (10 + 2x)

Combine like terms: 6 + 10 = 16
-12 + 6x = 16 + 2x

Solving
-12 + 6x = 16 + 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.
-12 + 6x + -2x = 16 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-12 + 4x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 4x = 16 + 0
-12 + 4x = 16

Add '12' to each side of the equation.
-12 + 12 + 4x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 16 + 12
4x = 16 + 12

Combine like terms: 16 + 12 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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