7x+4=9x-22

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Solution for 7x+4=9x-22 equation:


Simplifying
7x + 4 = 9x + -22

Reorder the terms:
4 + 7x = 9x + -22

Reorder the terms:
4 + 7x = -22 + 9x

Solving
4 + 7x = -22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 7x + -9x = -22 + 9x + -9x

Combine like terms: 7x + -9x = -2x
4 + -2x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -2x = -22 + 0
4 + -2x = -22

Add '-4' to each side of the equation.
4 + -4 + -2x = -22 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -22 + -4
-2x = -22 + -4

Combine like terms: -22 + -4 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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