(4x+6)=(7x-21)

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Solution for (4x+6)=(7x-21) equation:


Simplifying
(4x + 6) = (7x + -21)

Reorder the terms:
(6 + 4x) = (7x + -21)

Remove parenthesis around (6 + 4x)
6 + 4x = (7x + -21)

Reorder the terms:
6 + 4x = (-21 + 7x)

Remove parenthesis around (-21 + 7x)
6 + 4x = -21 + 7x

Solving
6 + 4x = -21 + 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.
6 + 4x + -7x = -21 + 7x + -7x

Combine like terms: 4x + -7x = -3x
6 + -3x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -3x = -21 + 0
6 + -3x = -21

Add '-6' to each side of the equation.
6 + -6 + -3x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -21 + -6
-3x = -21 + -6

Combine like terms: -21 + -6 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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