11-7(x-2)=46

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Solution for 11-7(x-2)=46 equation:


Simplifying
11 + -7(x + -2) = 46

Reorder the terms:
11 + -7(-2 + x) = 46
11 + (-2 * -7 + x * -7) = 46
11 + (14 + -7x) = 46

Combine like terms: 11 + 14 = 25
25 + -7x = 46

Solving
25 + -7x = 46

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -7x = 46 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = 46 + -25
-7x = 46 + -25

Combine like terms: 46 + -25 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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