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

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


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

Reorder the terms:
2(-3 + x) + 41 = -3x
(-3 * 2 + x * 2) + 41 = -3x
(-6 + 2x) + 41 = -3x

Reorder the terms:
-6 + 41 + 2x = -3x

Combine like terms: -6 + 41 = 35
35 + 2x = -3x

Solving
35 + 2x = -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.
35 + 2x + 3x = -3x + 3x

Combine like terms: 2x + 3x = 5x
35 + 5x = -3x + 3x

Combine like terms: -3x + 3x = 0
35 + 5x = 0

Add '-35' to each side of the equation.
35 + -35 + 5x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 5x = 0 + -35
5x = 0 + -35

Combine like terms: 0 + -35 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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