5-7x-8+14x-17=10x-4x-3

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Solution for 5-7x-8+14x-17=10x-4x-3 equation:


Simplifying
5 + -7x + -8 + 14x + -17 = 10x + -4x + -3

Reorder the terms:
5 + -8 + -17 + -7x + 14x = 10x + -4x + -3

Combine like terms: 5 + -8 = -3
-3 + -17 + -7x + 14x = 10x + -4x + -3

Combine like terms: -3 + -17 = -20
-20 + -7x + 14x = 10x + -4x + -3

Combine like terms: -7x + 14x = 7x
-20 + 7x = 10x + -4x + -3

Reorder the terms:
-20 + 7x = -3 + 10x + -4x

Combine like terms: 10x + -4x = 6x
-20 + 7x = -3 + 6x

Solving
-20 + 7x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 7x + -6x = -3 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-20 + 1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 1x = -3 + 0
-20 + 1x = -3

Add '20' to each side of the equation.
-20 + 20 + 1x = -3 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -3 + 20
1x = -3 + 20

Combine like terms: -3 + 20 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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