7x+22=17x-28

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Solution for 7x+22=17x-28 equation:


Simplifying
7x + 22 = 17x + -28

Reorder the terms:
22 + 7x = 17x + -28

Reorder the terms:
22 + 7x = -28 + 17x

Solving
22 + 7x = -28 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
22 + 7x + -17x = -28 + 17x + -17x

Combine like terms: 7x + -17x = -10x
22 + -10x = -28 + 17x + -17x

Combine like terms: 17x + -17x = 0
22 + -10x = -28 + 0
22 + -10x = -28

Add '-22' to each side of the equation.
22 + -22 + -10x = -28 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -28 + -22
-10x = -28 + -22

Combine like terms: -28 + -22 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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