7(x+3)=4[x-9(9-x)]

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Solution for 7(x+3)=4[x-9(9-x)] equation:


Simplifying
7(x + 3) = 4[x + -9(9 + -1x)]

Reorder the terms:
7(3 + x) = 4[x + -9(9 + -1x)]
(3 * 7 + x * 7) = 4[x + -9(9 + -1x)]
(21 + 7x) = 4[x + -9(9 + -1x)]
21 + 7x = 4[x + (9 * -9 + -1x * -9)]
21 + 7x = 4[x + (-81 + 9x)]

Reorder the terms:
21 + 7x = 4[-81 + x + 9x]

Combine like terms: x + 9x = 10x
21 + 7x = 4[-81 + 10x]
21 + 7x = [-81 * 4 + 10x * 4]
21 + 7x = [-324 + 40x]

Solving
21 + 7x = -324 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
21 + 7x + -40x = -324 + 40x + -40x

Combine like terms: 7x + -40x = -33x
21 + -33x = -324 + 40x + -40x

Combine like terms: 40x + -40x = 0
21 + -33x = -324 + 0
21 + -33x = -324

Add '-21' to each side of the equation.
21 + -21 + -33x = -324 + -21

Combine like terms: 21 + -21 = 0
0 + -33x = -324 + -21
-33x = -324 + -21

Combine like terms: -324 + -21 = -345
-33x = -345

Divide each side by '-33'.
x = 10.45454545

Simplifying
x = 10.45454545

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