3(2x+5)-17=6-2(x-11)

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Solution for 3(2x+5)-17=6-2(x-11) equation:


Simplifying
3(2x + 5) + -17 = 6 + -2(x + -11)

Reorder the terms:
3(5 + 2x) + -17 = 6 + -2(x + -11)
(5 * 3 + 2x * 3) + -17 = 6 + -2(x + -11)
(15 + 6x) + -17 = 6 + -2(x + -11)

Reorder the terms:
15 + -17 + 6x = 6 + -2(x + -11)

Combine like terms: 15 + -17 = -2
-2 + 6x = 6 + -2(x + -11)

Reorder the terms:
-2 + 6x = 6 + -2(-11 + x)
-2 + 6x = 6 + (-11 * -2 + x * -2)
-2 + 6x = 6 + (22 + -2x)

Combine like terms: 6 + 22 = 28
-2 + 6x = 28 + -2x

Solving
-2 + 6x = 28 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 6x + 2x = 28 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-2 + 8x = 28 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 8x = 28 + 0
-2 + 8x = 28

Add '2' to each side of the equation.
-2 + 2 + 8x = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 28 + 2
8x = 28 + 2

Combine like terms: 28 + 2 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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