9x-41=7(x-3)

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


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

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

Reorder the terms:
-41 + 9x = 7(-3 + x)
-41 + 9x = (-3 * 7 + x * 7)
-41 + 9x = (-21 + 7x)

Solving
-41 + 9x = -21 + 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 + 9x + -7x = -21 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-41 + 2x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-41 + 2x = -21 + 0
-41 + 2x = -21

Add '41' to each side of the equation.
-41 + 41 + 2x = -21 + 41

Combine like terms: -41 + 41 = 0
0 + 2x = -21 + 41
2x = -21 + 41

Combine like terms: -21 + 41 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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