7(x-4)-9=21x-191

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Solution for 7(x-4)-9=21x-191 equation:


Simplifying
7(x + -4) + -9 = 21x + -191

Reorder the terms:
7(-4 + x) + -9 = 21x + -191
(-4 * 7 + x * 7) + -9 = 21x + -191
(-28 + 7x) + -9 = 21x + -191

Reorder the terms:
-28 + -9 + 7x = 21x + -191

Combine like terms: -28 + -9 = -37
-37 + 7x = 21x + -191

Reorder the terms:
-37 + 7x = -191 + 21x

Solving
-37 + 7x = -191 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-37 + 7x + -21x = -191 + 21x + -21x

Combine like terms: 7x + -21x = -14x
-37 + -14x = -191 + 21x + -21x

Combine like terms: 21x + -21x = 0
-37 + -14x = -191 + 0
-37 + -14x = -191

Add '37' to each side of the equation.
-37 + 37 + -14x = -191 + 37

Combine like terms: -37 + 37 = 0
0 + -14x = -191 + 37
-14x = -191 + 37

Combine like terms: -191 + 37 = -154
-14x = -154

Divide each side by '-14'.
x = 11

Simplifying
x = 11

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