3x-7=78x-3-4-2x+10

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Solution for 3x-7=78x-3-4-2x+10 equation:


Simplifying
3x + -7 = 78x + -3 + -4 + -2x + 10

Reorder the terms:
-7 + 3x = 78x + -3 + -4 + -2x + 10

Reorder the terms:
-7 + 3x = -3 + -4 + 10 + 78x + -2x

Combine like terms: -3 + -4 = -7
-7 + 3x = -7 + 10 + 78x + -2x

Combine like terms: -7 + 10 = 3
-7 + 3x = 3 + 78x + -2x

Combine like terms: 78x + -2x = 76x
-7 + 3x = 3 + 76x

Solving
-7 + 3x = 3 + 76x

Solving for variable 'x'.

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

Add '-76x' to each side of the equation.
-7 + 3x + -76x = 3 + 76x + -76x

Combine like terms: 3x + -76x = -73x
-7 + -73x = 3 + 76x + -76x

Combine like terms: 76x + -76x = 0
-7 + -73x = 3 + 0
-7 + -73x = 3

Add '7' to each side of the equation.
-7 + 7 + -73x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -73x = 3 + 7
-73x = 3 + 7

Combine like terms: 3 + 7 = 10
-73x = 10

Divide each side by '-73'.
x = -0.1369863014

Simplifying
x = -0.1369863014

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