3(x-7)=7x-41

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


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

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

Reorder the terms:
-21 + 3x = -41 + 7x

Solving
-21 + 3x = -41 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-21 + 3x + -7x = -41 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-21 + -4x = -41 + 7x + -7x

Combine like terms: 7x + -7x = 0
-21 + -4x = -41 + 0
-21 + -4x = -41

Add '21' to each side of the equation.
-21 + 21 + -4x = -41 + 21

Combine like terms: -21 + 21 = 0
0 + -4x = -41 + 21
-4x = -41 + 21

Combine like terms: -41 + 21 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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