2(3x+4)=x-5

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Solution for 2(3x+4)=x-5 equation:


Simplifying
2(3x + 4) = x + -5

Reorder the terms:
2(4 + 3x) = x + -5
(4 * 2 + 3x * 2) = x + -5
(8 + 6x) = x + -5

Reorder the terms:
8 + 6x = -5 + x

Solving
8 + 6x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 6x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
8 + 5x = -5 + 0
8 + 5x = -5

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

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

Combine like terms: -5 + -8 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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