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

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


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

Reorder the terms:
2(-5 + x) + -8 = 6 + 3(x + 2)
(-5 * 2 + x * 2) + -8 = 6 + 3(x + 2)
(-10 + 2x) + -8 = 6 + 3(x + 2)

Reorder the terms:
-10 + -8 + 2x = 6 + 3(x + 2)

Combine like terms: -10 + -8 = -18
-18 + 2x = 6 + 3(x + 2)

Reorder the terms:
-18 + 2x = 6 + 3(2 + x)
-18 + 2x = 6 + (2 * 3 + x * 3)
-18 + 2x = 6 + (6 + 3x)

Combine like terms: 6 + 6 = 12
-18 + 2x = 12 + 3x

Solving
-18 + 2x = 12 + 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.
-18 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-18 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -1x = 12 + 0
-18 + -1x = 12

Add '18' to each side of the equation.
-18 + 18 + -1x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 12 + 18
-1x = 12 + 18

Combine like terms: 12 + 18 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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