3x-45=7x+23

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Solution for 3x-45=7x+23 equation:


Simplifying
3x + -45 = 7x + 23

Reorder the terms:
-45 + 3x = 7x + 23

Reorder the terms:
-45 + 3x = 23 + 7x

Solving
-45 + 3x = 23 + 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.
-45 + 3x + -7x = 23 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-45 + -4x = 23 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + -4x = 23 + 0
-45 + -4x = 23

Add '45' to each side of the equation.
-45 + 45 + -4x = 23 + 45

Combine like terms: -45 + 45 = 0
0 + -4x = 23 + 45
-4x = 23 + 45

Combine like terms: 23 + 45 = 68
-4x = 68

Divide each side by '-4'.
x = -17

Simplifying
x = -17

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