-3(x-7)=-5x+41

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Solution for -3(x-7)=-5x+41 equation:


Simplifying
-3(x + -7) = -5x + 41

Reorder the terms:
-3(-7 + x) = -5x + 41
(-7 * -3 + x * -3) = -5x + 41
(21 + -3x) = -5x + 41

Reorder the terms:
21 + -3x = 41 + -5x

Solving
21 + -3x = 41 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
21 + -3x + 5x = 41 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
21 + 2x = 41 + 0
21 + 2x = 41

Add '-21' to each side of the equation.
21 + -21 + 2x = 41 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 41 + -21
2x = 41 + -21

Combine like terms: 41 + -21 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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