4x+5=7x-22

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Solution for 4x+5=7x-22 equation:


Simplifying
4x + 5 = 7x + -22

Reorder the terms:
5 + 4x = 7x + -22

Reorder the terms:
5 + 4x = -22 + 7x

Solving
5 + 4x = -22 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 4x + -7x = -22 + 7x + -7x

Combine like terms: 4x + -7x = -3x
5 + -3x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -3x = -22 + 0
5 + -3x = -22

Add '-5' to each side of the equation.
5 + -5 + -3x = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -22 + -5
-3x = -22 + -5

Combine like terms: -22 + -5 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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