(3x+17)+(5x-9)=(10x-6)

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Solution for (3x+17)+(5x-9)=(10x-6) equation:


Simplifying
(3x + 17) + (5x + -9) = (10x + -6)

Reorder the terms:
(17 + 3x) + (5x + -9) = (10x + -6)

Remove parenthesis around (17 + 3x)
17 + 3x + (5x + -9) = (10x + -6)

Reorder the terms:
17 + 3x + (-9 + 5x) = (10x + -6)

Remove parenthesis around (-9 + 5x)
17 + 3x + -9 + 5x = (10x + -6)

Reorder the terms:
17 + -9 + 3x + 5x = (10x + -6)

Combine like terms: 17 + -9 = 8
8 + 3x + 5x = (10x + -6)

Combine like terms: 3x + 5x = 8x
8 + 8x = (10x + -6)

Reorder the terms:
8 + 8x = (-6 + 10x)

Remove parenthesis around (-6 + 10x)
8 + 8x = -6 + 10x

Solving
8 + 8x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 8x + -10x = -6 + 10x + -10x

Combine like terms: 8x + -10x = -2x
8 + -2x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -2x = -6 + 0
8 + -2x = -6

Add '-8' to each side of the equation.
8 + -8 + -2x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -6 + -8
-2x = -6 + -8

Combine like terms: -6 + -8 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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