4x-7=9x-22

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


Simplifying
4x + -7 = 9x + -22

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

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

Solving
-7 + 4x = -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.
-7 + 4x + -9x = -22 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-7 + -5x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -5x = -22 + 0
-7 + -5x = -22

Add '7' to each side of the equation.
-7 + 7 + -5x = -22 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -22 + 7
-5x = -22 + 7

Combine like terms: -22 + 7 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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