406=7(6x+4)

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Solution for 406=7(6x+4) equation:


Simplifying
406 = 7(6x + 4)

Reorder the terms:
406 = 7(4 + 6x)
406 = (4 * 7 + 6x * 7)
406 = (28 + 42x)

Solving
406 = 28 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
406 + -42x = 28 + 42x + -42x

Combine like terms: 42x + -42x = 0
406 + -42x = 28 + 0
406 + -42x = 28

Add '-406' to each side of the equation.
406 + -406 + -42x = 28 + -406

Combine like terms: 406 + -406 = 0
0 + -42x = 28 + -406
-42x = 28 + -406

Combine like terms: 28 + -406 = -378
-42x = -378

Divide each side by '-42'.
x = 9

Simplifying
x = 9

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