2(3x+4)=8x-9

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Solution for 2(3x+4)=8x-9 equation:


Simplifying
2(3x + 4) = 8x + -9

Reorder the terms:
2(4 + 3x) = 8x + -9
(4 * 2 + 3x * 2) = 8x + -9
(8 + 6x) = 8x + -9

Reorder the terms:
8 + 6x = -9 + 8x

Solving
8 + 6x = -9 + 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.
8 + 6x + -8x = -9 + 8x + -8x

Combine like terms: 6x + -8x = -2x
8 + -2x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -2x = -9 + 0
8 + -2x = -9

Add '-8' to each side of the equation.
8 + -8 + -2x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -9 + -8
-2x = -9 + -8

Combine like terms: -9 + -8 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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