17x+3-(5+2x)=14-(6x-5)+7

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Solution for 17x+3-(5+2x)=14-(6x-5)+7 equation:


Simplifying
17x + 3 + -1(5 + 2x) = 14 + -1(6x + -5) + 7
17x + 3 + (5 * -1 + 2x * -1) = 14 + -1(6x + -5) + 7
17x + 3 + (-5 + -2x) = 14 + -1(6x + -5) + 7

Reorder the terms:
3 + -5 + 17x + -2x = 14 + -1(6x + -5) + 7

Combine like terms: 3 + -5 = -2
-2 + 17x + -2x = 14 + -1(6x + -5) + 7

Combine like terms: 17x + -2x = 15x
-2 + 15x = 14 + -1(6x + -5) + 7

Reorder the terms:
-2 + 15x = 14 + -1(-5 + 6x) + 7
-2 + 15x = 14 + (-5 * -1 + 6x * -1) + 7
-2 + 15x = 14 + (5 + -6x) + 7

Reorder the terms:
-2 + 15x = 14 + 5 + 7 + -6x

Combine like terms: 14 + 5 = 19
-2 + 15x = 19 + 7 + -6x

Combine like terms: 19 + 7 = 26
-2 + 15x = 26 + -6x

Solving
-2 + 15x = 26 + -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.
-2 + 15x + 6x = 26 + -6x + 6x

Combine like terms: 15x + 6x = 21x
-2 + 21x = 26 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 21x = 26 + 0
-2 + 21x = 26

Add '2' to each side of the equation.
-2 + 2 + 21x = 26 + 2

Combine like terms: -2 + 2 = 0
0 + 21x = 26 + 2
21x = 26 + 2

Combine like terms: 26 + 2 = 28
21x = 28

Divide each side by '21'.
x = 1.333333333

Simplifying
x = 1.333333333

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