3x-5x+10-1=17x-3x+2

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Solution for 3x-5x+10-1=17x-3x+2 equation:


Simplifying
3x + -5x + 10 + -1 = 17x + -3x + 2

Reorder the terms:
10 + -1 + 3x + -5x = 17x + -3x + 2

Combine like terms: 10 + -1 = 9
9 + 3x + -5x = 17x + -3x + 2

Combine like terms: 3x + -5x = -2x
9 + -2x = 17x + -3x + 2

Reorder the terms:
9 + -2x = 2 + 17x + -3x

Combine like terms: 17x + -3x = 14x
9 + -2x = 2 + 14x

Solving
9 + -2x = 2 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
9 + -2x + -14x = 2 + 14x + -14x

Combine like terms: -2x + -14x = -16x
9 + -16x = 2 + 14x + -14x

Combine like terms: 14x + -14x = 0
9 + -16x = 2 + 0
9 + -16x = 2

Add '-9' to each side of the equation.
9 + -9 + -16x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = 2 + -9
-16x = 2 + -9

Combine like terms: 2 + -9 = -7
-16x = -7

Divide each side by '-16'.
x = 0.4375

Simplifying
x = 0.4375

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