(x+7)=(((x+25)+7)*5)

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Solution for (x+7)=(((x+25)+7)*5) equation:


Simplifying
(x + 7) = (((x + 25) + 7) * 5)

Reorder the terms:
(7 + x) = (((x + 25) + 7) * 5)

Remove parenthesis around (7 + x)
7 + x = (((x + 25) + 7) * 5)

Reorder the terms:
7 + x = (((25 + x) + 7) * 5)

Remove parenthesis around (25 + x)
7 + x = ((25 + x + 7) * 5)

Reorder the terms:
7 + x = ((25 + 7 + x) * 5)

Combine like terms: 25 + 7 = 32
7 + x = ((32 + x) * 5)

Reorder the terms for easier multiplication:
7 + x = (5(32 + x))
7 + x = ((32 * 5 + x * 5))
7 + x = ((160 + 5x))
7 + x = (160 + 5x)

Remove parenthesis around (160 + 5x)
7 + x = 160 + 5x

Solving
7 + x = 160 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + x + -5x = 160 + 5x + -5x

Combine like terms: x + -5x = -4x
7 + -4x = 160 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -4x = 160 + 0
7 + -4x = 160

Add '-7' to each side of the equation.
7 + -7 + -4x = 160 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 160 + -7
-4x = 160 + -7

Combine like terms: 160 + -7 = 153
-4x = 153

Divide each side by '-4'.
x = -38.25

Simplifying
x = -38.25

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