3=7(x-7)-3x

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


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

Reorder the terms:
3 = 7(-7 + x) + -3x
3 = (-7 * 7 + x * 7) + -3x
3 = (-49 + 7x) + -3x

Combine like terms: 7x + -3x = 4x
3 = -49 + 4x

Solving
3 = -49 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -4x = -49 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -4x = -49 + 0
3 + -4x = -49

Add '-3' to each side of the equation.
3 + -3 + -4x = -49 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -49 + -3
-4x = -49 + -3

Combine like terms: -49 + -3 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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