5x+3(2x+4)=8-9x

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Solution for 5x+3(2x+4)=8-9x equation:


Simplifying
5x + 3(2x + 4) = 8 + -9x

Reorder the terms:
5x + 3(4 + 2x) = 8 + -9x
5x + (4 * 3 + 2x * 3) = 8 + -9x
5x + (12 + 6x) = 8 + -9x

Reorder the terms:
12 + 5x + 6x = 8 + -9x

Combine like terms: 5x + 6x = 11x
12 + 11x = 8 + -9x

Solving
12 + 11x = 8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + 11x + 9x = 8 + -9x + 9x

Combine like terms: 11x + 9x = 20x
12 + 20x = 8 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 20x = 8 + 0
12 + 20x = 8

Add '-12' to each side of the equation.
12 + -12 + 20x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 20x = 8 + -12
20x = 8 + -12

Combine like terms: 8 + -12 = -4
20x = -4

Divide each side by '20'.
x = -0.2

Simplifying
x = -0.2

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