8+2(3x-6)=5-3(2x+1)

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Solution for 8+2(3x-6)=5-3(2x+1) equation:


Simplifying
8 + 2(3x + -6) = 5 + -3(2x + 1)

Reorder the terms:
8 + 2(-6 + 3x) = 5 + -3(2x + 1)
8 + (-6 * 2 + 3x * 2) = 5 + -3(2x + 1)
8 + (-12 + 6x) = 5 + -3(2x + 1)

Combine like terms: 8 + -12 = -4
-4 + 6x = 5 + -3(2x + 1)

Reorder the terms:
-4 + 6x = 5 + -3(1 + 2x)
-4 + 6x = 5 + (1 * -3 + 2x * -3)
-4 + 6x = 5 + (-3 + -6x)

Combine like terms: 5 + -3 = 2
-4 + 6x = 2 + -6x

Solving
-4 + 6x = 2 + -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.
-4 + 6x + 6x = 2 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-4 + 12x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 12x = 2 + 0
-4 + 12x = 2

Add '4' to each side of the equation.
-4 + 4 + 12x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 2 + 4
12x = 2 + 4

Combine like terms: 2 + 4 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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