2(x+3)=5x-8

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


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

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

Reorder the terms:
6 + 2x = -8 + 5x

Solving
6 + 2x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -3x = -8 + 0
6 + -3x = -8

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

Combine like terms: 6 + -6 = 0
0 + -3x = -8 + -6
-3x = -8 + -6

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

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

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