-7(3x-1)-(x+5)=-52

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Solution for -7(3x-1)-(x+5)=-52 equation: 


Simplifying
-7(3x + -1) + -1(x + 5) = -52

Reorder the terms:
-7(-1 + 3x) + -1(x + 5) = -52
(-1 * -7 + 3x * -7) + -1(x + 5) = -52
(7 + -21x) + -1(x + 5) = -52

Reorder the terms:
7 + -21x + -1(5 + x) = -52
7 + -21x + (5 * -1 + x * -1) = -52
7 + -21x + (-5 + -1x) = -52

Reorder the terms:
7 + -5 + -21x + -1x = -52

Combine like terms: 7 + -5 = 2
2 + -21x + -1x = -52

Combine like terms: -21x + -1x = -22x
2 + -22x = -52

Solving
2 + -22x = -52

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -22x = -52 + -2

Combine like terms: 2 + -2 = 0
0 + -22x = -52 + -2
-22x = -52 + -2

Combine like terms: -52 + -2 = -54
-22x = -54

Divide each side by '-22'.
x = 2.454545455

Simplifying
x = 2.454545455

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