9x-(7x+9)=4x-41

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Solution for 9x-(7x+9)=4x-41 equation:


Simplifying
9x + -1(7x + 9) = 4x + -41

Reorder the terms:
9x + -1(9 + 7x) = 4x + -41
9x + (9 * -1 + 7x * -1) = 4x + -41
9x + (-9 + -7x) = 4x + -41

Reorder the terms:
-9 + 9x + -7x = 4x + -41

Combine like terms: 9x + -7x = 2x
-9 + 2x = 4x + -41

Reorder the terms:
-9 + 2x = -41 + 4x

Solving
-9 + 2x = -41 + 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.
-9 + 2x + -4x = -41 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-9 + -2x = -41 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -2x = -41 + 0
-9 + -2x = -41

Add '9' to each side of the equation.
-9 + 9 + -2x = -41 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -41 + 9
-2x = -41 + 9

Combine like terms: -41 + 9 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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