7x-9=3x-41

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Solution for 7x-9=3x-41 equation:


Simplifying
7x + -9 = 3x + -41

Reorder the terms:
-9 + 7x = 3x + -41

Reorder the terms:
-9 + 7x = -41 + 3x

Solving
-9 + 7x = -41 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 7x + -3x = -41 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-9 + 4x = -41 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 4x = -41 + 0
-9 + 4x = -41

Add '9' to each side of the equation.
-9 + 9 + 4x = -41 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = -41 + 9
4x = -41 + 9

Combine like terms: -41 + 9 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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