2x-8x+78=4x+28

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Solution for 2x-8x+78=4x+28 equation:


Simplifying
2x + -8x + 78 = 4x + 28

Reorder the terms:
78 + 2x + -8x = 4x + 28

Combine like terms: 2x + -8x = -6x
78 + -6x = 4x + 28

Reorder the terms:
78 + -6x = 28 + 4x

Solving
78 + -6x = 28 + 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.
78 + -6x + -4x = 28 + 4x + -4x

Combine like terms: -6x + -4x = -10x
78 + -10x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
78 + -10x = 28 + 0
78 + -10x = 28

Add '-78' to each side of the equation.
78 + -78 + -10x = 28 + -78

Combine like terms: 78 + -78 = 0
0 + -10x = 28 + -78
-10x = 28 + -78

Combine like terms: 28 + -78 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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