2(x-6)+9=5-3(2x-1)

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Solution for 2(x-6)+9=5-3(2x-1) equation: 


Simplifying
2(x + -6) + 9 = 5 + -3(2x + -1)

Reorder the terms:
2(-6 + x) + 9 = 5 + -3(2x + -1)
(-6 * 2 + x * 2) + 9 = 5 + -3(2x + -1)
(-12 + 2x) + 9 = 5 + -3(2x + -1)

Reorder the terms:
-12 + 9 + 2x = 5 + -3(2x + -1)

Combine like terms: -12 + 9 = -3
-3 + 2x = 5 + -3(2x + -1)

Reorder the terms:
-3 + 2x = 5 + -3(-1 + 2x)
-3 + 2x = 5 + (-1 * -3 + 2x * -3)
-3 + 2x = 5 + (3 + -6x)

Combine like terms: 5 + 3 = 8
-3 + 2x = 8 + -6x

Solving
-3 + 2x = 8 + -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.
-3 + 2x + 6x = 8 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-3 + 8x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 8x = 8 + 0
-3 + 8x = 8

Add '3' to each side of the equation.
-3 + 3 + 8x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 8 + 3
8x = 8 + 3

Combine like terms: 8 + 3 = 11
8x = 11

Divide each side by '8'.
x = 1.375

Simplifying
x = 1.375

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