17x+5=10x+2x-10

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Solution for 17x+5=10x+2x-10 equation:


Simplifying
17x + 5 = 10x + 2x + -10

Reorder the terms:
5 + 17x = 10x + 2x + -10

Reorder the terms:
5 + 17x = -10 + 10x + 2x

Combine like terms: 10x + 2x = 12x
5 + 17x = -10 + 12x

Solving
5 + 17x = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 17x + -12x = -10 + 12x + -12x

Combine like terms: 17x + -12x = 5x
5 + 5x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + 5x = -10 + 0
5 + 5x = -10

Add '-5' to each side of the equation.
5 + -5 + 5x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -10 + -5
5x = -10 + -5

Combine like terms: -10 + -5 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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