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

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


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

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

Reorder the terms:
-41 + 2x = -3(7 + x)
-41 + 2x = (7 * -3 + x * -3)
-41 + 2x = (-21 + -3x)

Solving
-41 + 2x = -21 + -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.
-41 + 2x + 3x = -21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-41 + 5x = -21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-41 + 5x = -21 + 0
-41 + 5x = -21

Add '41' to each side of the equation.
-41 + 41 + 5x = -21 + 41

Combine like terms: -41 + 41 = 0
0 + 5x = -21 + 41
5x = -21 + 41

Combine like terms: -21 + 41 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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