7(x-4)+1=-22

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Solution for 7(x-4)+1=-22 equation:


Simplifying
7(x + -4) + 1 = -22

Reorder the terms:
7(-4 + x) + 1 = -22
(-4 * 7 + x * 7) + 1 = -22
(-28 + 7x) + 1 = -22

Reorder the terms:
-28 + 1 + 7x = -22

Combine like terms: -28 + 1 = -27
-27 + 7x = -22

Solving
-27 + 7x = -22

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 7x = -22 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = -22 + 27
7x = -22 + 27

Combine like terms: -22 + 27 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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