3x-78=8x+52

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Solution for 3x-78=8x+52 equation:


Simplifying
3x + -78 = 8x + 52

Reorder the terms:
-78 + 3x = 8x + 52

Reorder the terms:
-78 + 3x = 52 + 8x

Solving
-78 + 3x = 52 + 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.
-78 + 3x + -8x = 52 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-78 + -5x = 52 + 8x + -8x

Combine like terms: 8x + -8x = 0
-78 + -5x = 52 + 0
-78 + -5x = 52

Add '78' to each side of the equation.
-78 + 78 + -5x = 52 + 78

Combine like terms: -78 + 78 = 0
0 + -5x = 52 + 78
-5x = 52 + 78

Combine like terms: 52 + 78 = 130
-5x = 130

Divide each side by '-5'.
x = -26

Simplifying
x = -26

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