(7x+8)+(8x+3)=(17x-19)

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Solution for (7x+8)+(8x+3)=(17x-19) equation:


Simplifying
(7x + 8) + (8x + 3) = (17x + -19)

Reorder the terms:
(8 + 7x) + (8x + 3) = (17x + -19)

Remove parenthesis around (8 + 7x)
8 + 7x + (8x + 3) = (17x + -19)

Reorder the terms:
8 + 7x + (3 + 8x) = (17x + -19)

Remove parenthesis around (3 + 8x)
8 + 7x + 3 + 8x = (17x + -19)

Reorder the terms:
8 + 3 + 7x + 8x = (17x + -19)

Combine like terms: 8 + 3 = 11
11 + 7x + 8x = (17x + -19)

Combine like terms: 7x + 8x = 15x
11 + 15x = (17x + -19)

Reorder the terms:
11 + 15x = (-19 + 17x)

Remove parenthesis around (-19 + 17x)
11 + 15x = -19 + 17x

Solving
11 + 15x = -19 + 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.
11 + 15x + -17x = -19 + 17x + -17x

Combine like terms: 15x + -17x = -2x
11 + -2x = -19 + 17x + -17x

Combine like terms: 17x + -17x = 0
11 + -2x = -19 + 0
11 + -2x = -19

Add '-11' to each side of the equation.
11 + -11 + -2x = -19 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -19 + -11
-2x = -19 + -11

Combine like terms: -19 + -11 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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