3x+41=7x+9

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


Simplifying
3x + 41 = 7x + 9

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

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

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

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

Combine like terms: 7x + -7x = 0
41 + -4x = 9 + 0
41 + -4x = 9

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

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

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

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

Simplifying
x = 8

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