5x+28=14x-62

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Solution for 5x+28=14x-62 equation:


Simplifying
5x + 28 = 14x + -62

Reorder the terms:
28 + 5x = 14x + -62

Reorder the terms:
28 + 5x = -62 + 14x

Solving
28 + 5x = -62 + 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.
28 + 5x + -14x = -62 + 14x + -14x

Combine like terms: 5x + -14x = -9x
28 + -9x = -62 + 14x + -14x

Combine like terms: 14x + -14x = 0
28 + -9x = -62 + 0
28 + -9x = -62

Add '-28' to each side of the equation.
28 + -28 + -9x = -62 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = -62 + -28
-9x = -62 + -28

Combine like terms: -62 + -28 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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