5x+35=14x-61

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Solution for 5x+35=14x-61 equation:


Simplifying
5x + 35 = 14x + -61

Reorder the terms:
35 + 5x = 14x + -61

Reorder the terms:
35 + 5x = -61 + 14x

Solving
35 + 5x = -61 + 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.
35 + 5x + -14x = -61 + 14x + -14x

Combine like terms: 5x + -14x = -9x
35 + -9x = -61 + 14x + -14x

Combine like terms: 14x + -14x = 0
35 + -9x = -61 + 0
35 + -9x = -61

Add '-35' to each side of the equation.
35 + -35 + -9x = -61 + -35

Combine like terms: 35 + -35 = 0
0 + -9x = -61 + -35
-9x = -61 + -35

Combine like terms: -61 + -35 = -96
-9x = -96

Divide each side by '-9'.
x = 10.66666667

Simplifying
x = 10.66666667

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