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

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


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

Reorder the terms:
2(-6 + 5x) = 4(x + 6)
(-6 * 2 + 5x * 2) = 4(x + 6)
(-12 + 10x) = 4(x + 6)

Reorder the terms:
-12 + 10x = 4(6 + x)
-12 + 10x = (6 * 4 + x * 4)
-12 + 10x = (24 + 4x)

Solving
-12 + 10x = 24 + 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 + 10x + -4x = 24 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-12 + 6x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 6x = 24 + 0
-12 + 6x = 24

Add '12' to each side of the equation.
-12 + 12 + 6x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 24 + 12
6x = 24 + 12

Combine like terms: 24 + 12 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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