2(2x+1)-6(x-5)=9

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Solution for 2(2x+1)-6(x-5)=9 equation:


Simplifying
2(2x + 1) + -6(x + -5) = 9

Reorder the terms:
2(1 + 2x) + -6(x + -5) = 9
(1 * 2 + 2x * 2) + -6(x + -5) = 9
(2 + 4x) + -6(x + -5) = 9

Reorder the terms:
2 + 4x + -6(-5 + x) = 9
2 + 4x + (-5 * -6 + x * -6) = 9
2 + 4x + (30 + -6x) = 9

Reorder the terms:
2 + 30 + 4x + -6x = 9

Combine like terms: 2 + 30 = 32
32 + 4x + -6x = 9

Combine like terms: 4x + -6x = -2x
32 + -2x = 9

Solving
32 + -2x = 9

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -2x = 9 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 9 + -32
-2x = 9 + -32

Combine like terms: 9 + -32 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5

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