3.4(x+8)=2(22x+12)

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Solution for 3.4(x+8)=2(22x+12) equation: 


Simplifying
3.4(x + 8) = 2(22x + 12)

Reorder the terms:
3.4(8 + x) = 2(22x + 12)
(8 * 3.4 + x * 3.4) = 2(22x + 12)
(27.2 + 3.4x) = 2(22x + 12)

Reorder the terms:
27.2 + 3.4x = 2(12 + 22x)
27.2 + 3.4x = (12 * 2 + 22x * 2)
27.2 + 3.4x = (24 + 44x)

Solving
27.2 + 3.4x = 24 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
27.2 + 3.4x + -44x = 24 + 44x + -44x

Combine like terms: 3.4x + -44x = -40.6x
27.2 + -40.6x = 24 + 44x + -44x

Combine like terms: 44x + -44x = 0
27.2 + -40.6x = 24 + 0
27.2 + -40.6x = 24

Add '-27.2' to each side of the equation.
27.2 + -27.2 + -40.6x = 24 + -27.2

Combine like terms: 27.2 + -27.2 = 0.0
0.0 + -40.6x = 24 + -27.2
-40.6x = 24 + -27.2

Combine like terms: 24 + -27.2 = -3.2
-40.6x = -3.2

Divide each side by '-40.6'.
x = 0.07881773399

Simplifying
x = 0.07881773399

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