72=4x+7(x-7)

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Solution for 72=4x+7(x-7) equation:


Simplifying
72 = 4x + 7(x + -7)

Reorder the terms:
72 = 4x + 7(-7 + x)
72 = 4x + (-7 * 7 + x * 7)
72 = 4x + (-49 + 7x)

Reorder the terms:
72 = -49 + 4x + 7x

Combine like terms: 4x + 7x = 11x
72 = -49 + 11x

Solving
72 = -49 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
72 + -11x = -49 + 11x + -11x

Combine like terms: 11x + -11x = 0
72 + -11x = -49 + 0
72 + -11x = -49

Add '-72' to each side of the equation.
72 + -72 + -11x = -49 + -72

Combine like terms: 72 + -72 = 0
0 + -11x = -49 + -72
-11x = -49 + -72

Combine like terms: -49 + -72 = -121
-11x = -121

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

Simplifying
x = 11

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