3(2x-5)-6=4-2(x-8)

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Solution for 3(2x-5)-6=4-2(x-8) equation: 


Simplifying
3(2x + -5) + -6 = 4 + -2(x + -8)

Reorder the terms:
3(-5 + 2x) + -6 = 4 + -2(x + -8)
(-5 * 3 + 2x * 3) + -6 = 4 + -2(x + -8)
(-15 + 6x) + -6 = 4 + -2(x + -8)

Reorder the terms:
-15 + -6 + 6x = 4 + -2(x + -8)

Combine like terms: -15 + -6 = -21
-21 + 6x = 4 + -2(x + -8)

Reorder the terms:
-21 + 6x = 4 + -2(-8 + x)
-21 + 6x = 4 + (-8 * -2 + x * -2)
-21 + 6x = 4 + (16 + -2x)

Combine like terms: 4 + 16 = 20
-21 + 6x = 20 + -2x

Solving
-21 + 6x = 20 + -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.
-21 + 6x + 2x = 20 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-21 + 8x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + 8x = 20 + 0
-21 + 8x = 20

Add '21' to each side of the equation.
-21 + 21 + 8x = 20 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 20 + 21
8x = 20 + 21

Combine like terms: 20 + 21 = 41
8x = 41

Divide each side by '8'.
x = 5.125

Simplifying
x = 5.125

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