7x-14=9x-28

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Solution for 7x-14=9x-28 equation:


Simplifying
7x + -14 = 9x + -28

Reorder the terms:
-14 + 7x = 9x + -28

Reorder the terms:
-14 + 7x = -28 + 9x

Solving
-14 + 7x = -28 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 7x + -9x = -28 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-14 + -2x = -28 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -2x = -28 + 0
-14 + -2x = -28

Add '14' to each side of the equation.
-14 + 14 + -2x = -28 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -28 + 14
-2x = -28 + 14

Combine like terms: -28 + 14 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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