3(x+7)=7x-3

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


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

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

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

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

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

Combine like terms: 7x + -7x = 0
21 + -4x = -3 + 0
21 + -4x = -3

Add '-21' to each side of the equation.
21 + -21 + -4x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -3 + -21
-4x = -3 + -21

Combine like terms: -3 + -21 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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