3(9+4x)=6+5(2-x)

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Solution for 3(9+4x)=6+5(2-x) equation:


Simplifying
3(9 + 4x) = 6 + 5(2 + -1x)
(9 * 3 + 4x * 3) = 6 + 5(2 + -1x)
(27 + 12x) = 6 + 5(2 + -1x)
27 + 12x = 6 + (2 * 5 + -1x * 5)
27 + 12x = 6 + (10 + -5x)

Combine like terms: 6 + 10 = 16
27 + 12x = 16 + -5x

Solving
27 + 12x = 16 + -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.
27 + 12x + 5x = 16 + -5x + 5x

Combine like terms: 12x + 5x = 17x
27 + 17x = 16 + -5x + 5x

Combine like terms: -5x + 5x = 0
27 + 17x = 16 + 0
27 + 17x = 16

Add '-27' to each side of the equation.
27 + -27 + 17x = 16 + -27

Combine like terms: 27 + -27 = 0
0 + 17x = 16 + -27
17x = 16 + -27

Combine like terms: 16 + -27 = -11
17x = -11

Divide each side by '17'.
x = -0.6470588235

Simplifying
x = -0.6470588235

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