9(4x+7)=9(9x+2)

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Solution for 9(4x+7)=9(9x+2) equation:


Simplifying
9(4x + 7) = 9(9x + 2)

Reorder the terms:
9(7 + 4x) = 9(9x + 2)
(7 * 9 + 4x * 9) = 9(9x + 2)
(63 + 36x) = 9(9x + 2)

Reorder the terms:
63 + 36x = 9(2 + 9x)
63 + 36x = (2 * 9 + 9x * 9)
63 + 36x = (18 + 81x)

Solving
63 + 36x = 18 + 81x

Solving for variable 'x'.

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

Add '-81x' to each side of the equation.
63 + 36x + -81x = 18 + 81x + -81x

Combine like terms: 36x + -81x = -45x
63 + -45x = 18 + 81x + -81x

Combine like terms: 81x + -81x = 0
63 + -45x = 18 + 0
63 + -45x = 18

Add '-63' to each side of the equation.
63 + -63 + -45x = 18 + -63

Combine like terms: 63 + -63 = 0
0 + -45x = 18 + -63
-45x = 18 + -63

Combine like terms: 18 + -63 = -45
-45x = -45

Divide each side by '-45'.
x = 1

Simplifying
x = 1

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