9x+5-3x+35=19x-94-5x+78

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Solution for 9x+5-3x+35=19x-94-5x+78 equation: 


Simplifying
9x + 5 + -3x + 35 = 19x + -94 + -5x + 78

Reorder the terms:
5 + 35 + 9x + -3x = 19x + -94 + -5x + 78

Combine like terms: 5 + 35 = 40
40 + 9x + -3x = 19x + -94 + -5x + 78

Combine like terms: 9x + -3x = 6x
40 + 6x = 19x + -94 + -5x + 78

Reorder the terms:
40 + 6x = -94 + 78 + 19x + -5x

Combine like terms: -94 + 78 = -16
40 + 6x = -16 + 19x + -5x

Combine like terms: 19x + -5x = 14x
40 + 6x = -16 + 14x

Solving
40 + 6x = -16 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
40 + 6x + -14x = -16 + 14x + -14x

Combine like terms: 6x + -14x = -8x
40 + -8x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
40 + -8x = -16 + 0
40 + -8x = -16

Add '-40' to each side of the equation.
40 + -40 + -8x = -16 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = -16 + -40
-8x = -16 + -40

Combine like terms: -16 + -40 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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