2(2x+1)-6=-3x+17

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Solution for 2(2x+1)-6=-3x+17 equation:


Simplifying
2(2x + 1) + -6 = -3x + 17

Reorder the terms:
2(1 + 2x) + -6 = -3x + 17
(1 * 2 + 2x * 2) + -6 = -3x + 17
(2 + 4x) + -6 = -3x + 17

Reorder the terms:
2 + -6 + 4x = -3x + 17

Combine like terms: 2 + -6 = -4
-4 + 4x = -3x + 17

Reorder the terms:
-4 + 4x = 17 + -3x

Solving
-4 + 4x = 17 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 4x + 3x = 17 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-4 + 7x = 17 + 0
-4 + 7x = 17

Add '4' to each side of the equation.
-4 + 4 + 7x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 17 + 4
7x = 17 + 4

Combine like terms: 17 + 4 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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