5x+30=14x-35

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Solution for 5x+30=14x-35 equation:


Simplifying
5x + 30 = 14x + -35

Reorder the terms:
30 + 5x = 14x + -35

Reorder the terms:
30 + 5x = -35 + 14x

Solving
30 + 5x = -35 + 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.
30 + 5x + -14x = -35 + 14x + -14x

Combine like terms: 5x + -14x = -9x
30 + -9x = -35 + 14x + -14x

Combine like terms: 14x + -14x = 0
30 + -9x = -35 + 0
30 + -9x = -35

Add '-30' to each side of the equation.
30 + -30 + -9x = -35 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = -35 + -30
-9x = -35 + -30

Combine like terms: -35 + -30 = -65
-9x = -65

Divide each side by '-9'.
x = 7.222222222

Simplifying
x = 7.222222222

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