2x-(7x+9)=3x-41

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Solution for 2x-(7x+9)=3x-41 equation:


Simplifying
2x + -1(7x + 9) = 3x + -41

Reorder the terms:
2x + -1(9 + 7x) = 3x + -41
2x + (9 * -1 + 7x * -1) = 3x + -41
2x + (-9 + -7x) = 3x + -41

Reorder the terms:
-9 + 2x + -7x = 3x + -41

Combine like terms: 2x + -7x = -5x
-9 + -5x = 3x + -41

Reorder the terms:
-9 + -5x = -41 + 3x

Solving
-9 + -5x = -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 + -5x + -3x = -41 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-9 + -8x = -41 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -8x = -41 + 0
-9 + -8x = -41

Add '9' to each side of the equation.
-9 + 9 + -8x = -41 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = -41 + 9
-8x = -41 + 9

Combine like terms: -41 + 9 = -32
-8x = -32

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

Simplifying
x = 4

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