3x+8=78-4x

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Solution for 3x+8=78-4x equation:


Simplifying
3x + 8 = 78 + -4x

Reorder the terms:
8 + 3x = 78 + -4x

Solving
8 + 3x = 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.
8 + 3x + 4x = 78 + -4x + 4x

Combine like terms: 3x + 4x = 7x
8 + 7x = 78 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 7x = 78 + 0
8 + 7x = 78

Add '-8' to each side of the equation.
8 + -8 + 7x = 78 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 78 + -8
7x = 78 + -8

Combine like terms: 78 + -8 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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