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

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


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

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

Solving
10 + 6x = 3 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
10 + 6x + 8x = 3 + -8x + 8x

Combine like terms: 6x + 8x = 14x
10 + 14x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 14x = 3 + 0
10 + 14x = 3

Add '-10' to each side of the equation.
10 + -10 + 14x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 3 + -10
14x = 3 + -10

Combine like terms: 3 + -10 = -7
14x = -7

Divide each side by '14'.
x = -0.5

Simplifying
x = -0.5

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