8x+14=11x-28

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Solution for 8x+14=11x-28 equation:


Simplifying
8x + 14 = 11x + -28

Reorder the terms:
14 + 8x = 11x + -28

Reorder the terms:
14 + 8x = -28 + 11x

Solving
14 + 8x = -28 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
14 + 8x + -11x = -28 + 11x + -11x

Combine like terms: 8x + -11x = -3x
14 + -3x = -28 + 11x + -11x

Combine like terms: 11x + -11x = 0
14 + -3x = -28 + 0
14 + -3x = -28

Add '-14' to each side of the equation.
14 + -14 + -3x = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -28 + -14
-3x = -28 + -14

Combine like terms: -28 + -14 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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