5x+175=14x-14

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Solution for 5x+175=14x-14 equation:


Simplifying
5x + 175 = 14x + -14

Reorder the terms:
175 + 5x = 14x + -14

Reorder the terms:
175 + 5x = -14 + 14x

Solving
175 + 5x = -14 + 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.
175 + 5x + -14x = -14 + 14x + -14x

Combine like terms: 5x + -14x = -9x
175 + -9x = -14 + 14x + -14x

Combine like terms: 14x + -14x = 0
175 + -9x = -14 + 0
175 + -9x = -14

Add '-175' to each side of the equation.
175 + -175 + -9x = -14 + -175

Combine like terms: 175 + -175 = 0
0 + -9x = -14 + -175
-9x = -14 + -175

Combine like terms: -14 + -175 = -189
-9x = -189

Divide each side by '-9'.
x = 21

Simplifying
x = 21

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