4x-7(x-3)=3(7+x)

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Solution for 4x-7(x-3)=3(7+x) equation:


Simplifying
4x + -7(x + -3) = 3(7 + x)

Reorder the terms:
4x + -7(-3 + x) = 3(7 + x)
4x + (-3 * -7 + x * -7) = 3(7 + x)
4x + (21 + -7x) = 3(7 + x)

Reorder the terms:
21 + 4x + -7x = 3(7 + x)

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

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

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

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

Solving
-3x = 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.
-3x + -3x = 3x + -3x

Combine like terms: -3x + -3x = -6x
-6x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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