100x=7(x+5)+(2x+3)

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Solution for 100x=7(x+5)+(2x+3) equation: 


Simplifying
100x = 7(x + 5) + (2x + 3)

Reorder the terms:
100x = 7(5 + x) + (2x + 3)
100x = (5 * 7 + x * 7) + (2x + 3)
100x = (35 + 7x) + (2x + 3)

Reorder the terms:
100x = 35 + 7x + (3 + 2x)

Remove parenthesis around (3 + 2x)
100x = 35 + 7x + 3 + 2x

Reorder the terms:
100x = 35 + 3 + 7x + 2x

Combine like terms: 35 + 3 = 38
100x = 38 + 7x + 2x

Combine like terms: 7x + 2x = 9x
100x = 38 + 9x

Solving
100x = 38 + 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.
100x + -9x = 38 + 9x + -9x

Combine like terms: 100x + -9x = 91x
91x = 38 + 9x + -9x

Combine like terms: 9x + -9x = 0
91x = 38 + 0
91x = 38

Divide each side by '91'.
x = 0.4175824176

Simplifying
x = 0.4175824176

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