7[x-11]-3x=-53

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Solution for 7[x-11]-3x=-53 equation:


Simplifying
7[x + -11] + -3x = -53

Reorder the terms:
7[-11 + x] + -3x = -53
[-11 * 7 + x * 7] + -3x = -53
[-77 + 7x] + -3x = -53

Combine like terms: 7x + -3x = 4x
-77 + 4x = -53

Solving
-77 + 4x = -53

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + 4x = -53 + 77

Combine like terms: -77 + 77 = 0
0 + 4x = -53 + 77
4x = -53 + 77

Combine like terms: -53 + 77 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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