12-2(x+3)=8+3(2x+5)

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Solution for 12-2(x+3)=8+3(2x+5) equation:


Simplifying
12 + -2(x + 3) = 8 + 3(2x + 5)

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

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

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

Combine like terms: 8 + 15 = 23
6 + -2x = 23 + 6x

Solving
6 + -2x = 23 + 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.
6 + -2x + -6x = 23 + 6x + -6x

Combine like terms: -2x + -6x = -8x
6 + -8x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -8x = 23 + 0
6 + -8x = 23

Add '-6' to each side of the equation.
6 + -6 + -8x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 23 + -6
-8x = 23 + -6

Combine like terms: 23 + -6 = 17
-8x = 17

Divide each side by '-8'.
x = -2.125

Simplifying
x = -2.125

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