146=6x+6(6x+7)

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Solution for 146=6x+6(6x+7) equation:


Simplifying
146 = 6x + 6(6x + 7)

Reorder the terms:
146 = 6x + 6(7 + 6x)
146 = 6x + (7 * 6 + 6x * 6)
146 = 6x + (42 + 36x)

Reorder the terms:
146 = 42 + 6x + 36x

Combine like terms: 6x + 36x = 42x
146 = 42 + 42x

Solving
146 = 42 + 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.
146 + -42x = 42 + 42x + -42x

Combine like terms: 42x + -42x = 0
146 + -42x = 42 + 0
146 + -42x = 42

Add '-146' to each side of the equation.
146 + -146 + -42x = 42 + -146

Combine like terms: 146 + -146 = 0
0 + -42x = 42 + -146
-42x = 42 + -146

Combine like terms: 42 + -146 = -104
-42x = -104

Divide each side by '-42'.
x = 2.476190476

Simplifying
x = 2.476190476

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