2(3x-6)=4(x+8)

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Solution for 2(3x-6)=4(x+8) equation:


Simplifying
2(3x + -6) = 4(x + 8)

Reorder the terms:
2(-6 + 3x) = 4(x + 8)
(-6 * 2 + 3x * 2) = 4(x + 8)
(-12 + 6x) = 4(x + 8)

Reorder the terms:
-12 + 6x = 4(8 + x)
-12 + 6x = (8 * 4 + x * 4)
-12 + 6x = (32 + 4x)

Solving
-12 + 6x = 32 + 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.
-12 + 6x + -4x = 32 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-12 + 2x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 2x = 32 + 0
-12 + 2x = 32

Add '12' to each side of the equation.
-12 + 12 + 2x = 32 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 32 + 12
2x = 32 + 12

Combine like terms: 32 + 12 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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