5x-14+x=3x+5x-28

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Solution for 5x-14+x=3x+5x-28 equation:


Simplifying
5x + -14 + x = 3x + 5x + -28

Reorder the terms:
-14 + 5x + x = 3x + 5x + -28

Combine like terms: 5x + x = 6x
-14 + 6x = 3x + 5x + -28

Reorder the terms:
-14 + 6x = -28 + 3x + 5x

Combine like terms: 3x + 5x = 8x
-14 + 6x = -28 + 8x

Solving
-14 + 6x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 6x + -8x = -28 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-14 + -2x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 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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