78=12x+(x+2)5

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Solution for 78=12x+(x+2)5 equation:


Simplifying
78 = 12x + (x + 2) * 5

Reorder the terms:
78 = 12x + (2 + x) * 5

Reorder the terms for easier multiplication:
78 = 12x + 5(2 + x)
78 = 12x + (2 * 5 + x * 5)
78 = 12x + (10 + 5x)

Reorder the terms:
78 = 10 + 12x + 5x

Combine like terms: 12x + 5x = 17x
78 = 10 + 17x

Solving
78 = 10 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
78 + -17x = 10 + 17x + -17x

Combine like terms: 17x + -17x = 0
78 + -17x = 10 + 0
78 + -17x = 10

Add '-78' to each side of the equation.
78 + -78 + -17x = 10 + -78

Combine like terms: 78 + -78 = 0
0 + -17x = 10 + -78
-17x = 10 + -78

Combine like terms: 10 + -78 = -68
-17x = -68

Divide each side by '-17'.
x = 4

Simplifying
x = 4

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