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

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


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

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

Combine like terms: 1 + -6 = -5
-5 + -2x = 3x + -8

Reorder the terms:
-5 + -2x = -8 + 3x

Solving
-5 + -2x = -8 + 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.
-5 + -2x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + -5x = -8 + 0
-5 + -5x = -8

Add '5' to each side of the equation.
-5 + 5 + -5x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -8 + 5
-5x = -8 + 5

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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