-5x+14=7x-28

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Solution for -5x+14=7x-28 equation:


Simplifying
-5x + 14 = 7x + -28

Reorder the terms:
14 + -5x = 7x + -28

Reorder the terms:
14 + -5x = -28 + 7x

Solving
14 + -5x = -28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
14 + -5x + -7x = -28 + 7x + -7x

Combine like terms: -5x + -7x = -12x
14 + -12x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -12x = -28 + 0
14 + -12x = -28

Add '-14' to each side of the equation.
14 + -14 + -12x = -28 + -14

Combine like terms: 14 + -14 = 0
0 + -12x = -28 + -14
-12x = -28 + -14

Combine like terms: -28 + -14 = -42
-12x = -42

Divide each side by '-12'.
x = 3.5

Simplifying
x = 3.5

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