3x-5=-4x+23

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Solution for 3x-5=-4x+23 equation:


Simplifying
3x + -5 = -4x + 23

Reorder the terms:
-5 + 3x = -4x + 23

Reorder the terms:
-5 + 3x = 23 + -4x

Solving
-5 + 3x = 23 + -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 = 23 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-5 + 7x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 7x = 23 + 0
-5 + 7x = 23

Add '5' to each side of the equation.
-5 + 5 + 7x = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 23 + 5
7x = 23 + 5

Combine like terms: 23 + 5 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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