7*(x-4)-3=46

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Solution for 7*(x-4)-3=46 equation:


Simplifying
7(x + -4) + -3 = 46

Reorder the terms:
7(-4 + x) + -3 = 46
(-4 * 7 + x * 7) + -3 = 46
(-28 + 7x) + -3 = 46

Reorder the terms:
-28 + -3 + 7x = 46

Combine like terms: -28 + -3 = -31
-31 + 7x = 46

Solving
-31 + 7x = 46

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 7x = 46 + 31

Combine like terms: -31 + 31 = 0
0 + 7x = 46 + 31
7x = 46 + 31

Combine like terms: 46 + 31 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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