7x-28-3=2x-8+17

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Solution for 7x-28-3=2x-8+17 equation:


Simplifying
7x + -28 + -3 = 2x + -8 + 17

Reorder the terms:
-28 + -3 + 7x = 2x + -8 + 17

Combine like terms: -28 + -3 = -31
-31 + 7x = 2x + -8 + 17

Reorder the terms:
-31 + 7x = -8 + 17 + 2x

Combine like terms: -8 + 17 = 9
-31 + 7x = 9 + 2x

Solving
-31 + 7x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-31 + 7x + -2x = 9 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-31 + 5x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-31 + 5x = 9 + 0
-31 + 5x = 9

Add '31' to each side of the equation.
-31 + 31 + 5x = 9 + 31

Combine like terms: -31 + 31 = 0
0 + 5x = 9 + 31
5x = 9 + 31

Combine like terms: 9 + 31 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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