9(72-x)=7(x-40)

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Solution for 9(72-x)=7(x-40) equation:


Simplifying
9(72 + -1x) = 7(x + -40)
(72 * 9 + -1x * 9) = 7(x + -40)
(648 + -9x) = 7(x + -40)

Reorder the terms:
648 + -9x = 7(-40 + x)
648 + -9x = (-40 * 7 + x * 7)
648 + -9x = (-280 + 7x)

Solving
648 + -9x = -280 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
648 + -9x + -7x = -280 + 7x + -7x

Combine like terms: -9x + -7x = -16x
648 + -16x = -280 + 7x + -7x

Combine like terms: 7x + -7x = 0
648 + -16x = -280 + 0
648 + -16x = -280

Add '-648' to each side of the equation.
648 + -648 + -16x = -280 + -648

Combine like terms: 648 + -648 = 0
0 + -16x = -280 + -648
-16x = -280 + -648

Combine like terms: -280 + -648 = -928
-16x = -928

Divide each side by '-16'.
x = 58

Simplifying
x = 58

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