5x-28=3x+10

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Solution for 5x-28=3x+10 equation:


Simplifying
5x + -28 = 3x + 10

Reorder the terms:
-28 + 5x = 3x + 10

Reorder the terms:
-28 + 5x = 10 + 3x

Solving
-28 + 5x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 5x + -3x = 10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-28 + 2x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 2x = 10 + 0
-28 + 2x = 10

Add '28' to each side of the equation.
-28 + 28 + 2x = 10 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = 10 + 28
2x = 10 + 28

Combine like terms: 10 + 28 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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