7(5-x)=3(3(x+1))

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Solution for 7(5-x)=3(3(x+1)) equation: 


Simplifying
7(5 + -1x) = 3(3(x + 1))
(5 * 7 + -1x * 7) = 3(3(x + 1))
(35 + -7x) = 3(3(x + 1))

Reorder the terms:
35 + -7x = 3(3(1 + x))
35 + -7x = 3((1 * 3 + x * 3))
35 + -7x = 3((3 + 3x))
35 + -7x = (3 * 3 + 3x * 3)
35 + -7x = (9 + 9x)

Solving
35 + -7x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
35 + -7x + -9x = 9 + 9x + -9x

Combine like terms: -7x + -9x = -16x
35 + -16x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
35 + -16x = 9 + 0
35 + -16x = 9

Add '-35' to each side of the equation.
35 + -35 + -16x = 9 + -35

Combine like terms: 35 + -35 = 0
0 + -16x = 9 + -35
-16x = 9 + -35

Combine like terms: 9 + -35 = -26
-16x = -26

Divide each side by '-16'.
x = 1.625

Simplifying
x = 1.625

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