78+6x=6(7x-5)

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Solution for 78+6x=6(7x-5) equation:


Simplifying
78 + 6x = 6(7x + -5)

Reorder the terms:
78 + 6x = 6(-5 + 7x)
78 + 6x = (-5 * 6 + 7x * 6)
78 + 6x = (-30 + 42x)

Solving
78 + 6x = -30 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
78 + 6x + -42x = -30 + 42x + -42x

Combine like terms: 6x + -42x = -36x
78 + -36x = -30 + 42x + -42x

Combine like terms: 42x + -42x = 0
78 + -36x = -30 + 0
78 + -36x = -30

Add '-78' to each side of the equation.
78 + -78 + -36x = -30 + -78

Combine like terms: 78 + -78 = 0
0 + -36x = -30 + -78
-36x = -30 + -78

Combine like terms: -30 + -78 = -108
-36x = -108

Divide each side by '-36'.
x = 3

Simplifying
x = 3

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