3x+5=4x-22

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Solution for 3x+5=4x-22 equation:


Simplifying
3x + 5 = 4x + -22

Reorder the terms:
5 + 3x = 4x + -22

Reorder the terms:
5 + 3x = -22 + 4x

Solving
5 + 3x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = -22 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -22 + 0
5 + -1x = -22

Add '-5' to each side of the equation.
5 + -5 + -1x = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -22 + -5
-1x = -22 + -5

Combine like terms: -22 + -5 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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