20x+4=78+8x-2

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Solution for 20x+4=78+8x-2 equation:


Simplifying
20x + 4 = 78 + 8x + -2

Reorder the terms:
4 + 20x = 78 + 8x + -2

Reorder the terms:
4 + 20x = 78 + -2 + 8x

Combine like terms: 78 + -2 = 76
4 + 20x = 76 + 8x

Solving
4 + 20x = 76 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 20x + -8x = 76 + 8x + -8x

Combine like terms: 20x + -8x = 12x
4 + 12x = 76 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + 12x = 76 + 0
4 + 12x = 76

Add '-4' to each side of the equation.
4 + -4 + 12x = 76 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = 76 + -4
12x = 76 + -4

Combine like terms: 76 + -4 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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