7(6x-1)+x=46

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Solution for 7(6x-1)+x=46 equation:


Simplifying
7(6x + -1) + x = 46

Reorder the terms:
7(-1 + 6x) + x = 46
(-1 * 7 + 6x * 7) + x = 46
(-7 + 42x) + x = 46

Combine like terms: 42x + x = 43x
-7 + 43x = 46

Solving
-7 + 43x = 46

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 43x = 46 + 7

Combine like terms: -7 + 7 = 0
0 + 43x = 46 + 7
43x = 46 + 7

Combine like terms: 46 + 7 = 53
43x = 53

Divide each side by '43'.
x = 1.23255814

Simplifying
x = 1.23255814

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