(x+8)+(x+15)=9x+40

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Solution for (x+8)+(x+15)=9x+40 equation:


Simplifying
(x + 8) + (x + 15) = 9x + 40

Reorder the terms:
(8 + x) + (x + 15) = 9x + 40

Remove parenthesis around (8 + x)
8 + x + (x + 15) = 9x + 40

Reorder the terms:
8 + x + (15 + x) = 9x + 40

Remove parenthesis around (15 + x)
8 + x + 15 + x = 9x + 40

Reorder the terms:
8 + 15 + x + x = 9x + 40

Combine like terms: 8 + 15 = 23
23 + x + x = 9x + 40

Combine like terms: x + x = 2x
23 + 2x = 9x + 40

Reorder the terms:
23 + 2x = 40 + 9x

Solving
23 + 2x = 40 + 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.
23 + 2x + -9x = 40 + 9x + -9x

Combine like terms: 2x + -9x = -7x
23 + -7x = 40 + 9x + -9x

Combine like terms: 9x + -9x = 0
23 + -7x = 40 + 0
23 + -7x = 40

Add '-23' to each side of the equation.
23 + -23 + -7x = 40 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = 40 + -23
-7x = 40 + -23

Combine like terms: 40 + -23 = 17
-7x = 17

Divide each side by '-7'.
x = -2.428571429

Simplifying
x = -2.428571429

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