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

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


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

Reorder the terms:
7 + -9(-3 + x) + 2x = 41
7 + (-3 * -9 + x * -9) + 2x = 41
7 + (27 + -9x) + 2x = 41

Combine like terms: 7 + 27 = 34
34 + -9x + 2x = 41

Combine like terms: -9x + 2x = -7x
34 + -7x = 41

Solving
34 + -7x = 41

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -7x = 41 + -34

Combine like terms: 34 + -34 = 0
0 + -7x = 41 + -34
-7x = 41 + -34

Combine like terms: 41 + -34 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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