6(x-2)=78-4x

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Solution for 6(x-2)=78-4x equation:


Simplifying
6(x + -2) = 78 + -4x

Reorder the terms:
6(-2 + x) = 78 + -4x
(-2 * 6 + x * 6) = 78 + -4x
(-12 + 6x) = 78 + -4x

Solving
-12 + 6x = 78 + -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 = 78 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-12 + 10x = 78 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 10x = 78 + 0
-12 + 10x = 78

Add '12' to each side of the equation.
-12 + 12 + 10x = 78 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 78 + 12
10x = 78 + 12

Combine like terms: 78 + 12 = 90
10x = 90

Divide each side by '10'.
x = 9

Simplifying
x = 9

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