40=(8x+7)+(9x+16)

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Solution for 40=(8x+7)+(9x+16) equation: 


Simplifying
40 = (8x + 7) + (9x + 16)

Reorder the terms:
40 = (7 + 8x) + (9x + 16)

Remove parenthesis around (7 + 8x)
40 = 7 + 8x + (9x + 16)

Reorder the terms:
40 = 7 + 8x + (16 + 9x)

Remove parenthesis around (16 + 9x)
40 = 7 + 8x + 16 + 9x

Reorder the terms:
40 = 7 + 16 + 8x + 9x

Combine like terms: 7 + 16 = 23
40 = 23 + 8x + 9x

Combine like terms: 8x + 9x = 17x
40 = 23 + 17x

Solving
40 = 23 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
40 + -17x = 23 + 17x + -17x

Combine like terms: 17x + -17x = 0
40 + -17x = 23 + 0
40 + -17x = 23

Add '-40' to each side of the equation.
40 + -40 + -17x = 23 + -40

Combine like terms: 40 + -40 = 0
0 + -17x = 23 + -40
-17x = 23 + -40

Combine like terms: 23 + -40 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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