3(x+5.8)=6.5(x-1.2)+12.25

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Solution for 3(x+5.8)=6.5(x-1.2)+12.25 equation: 


Simplifying
3(x + 5.8) = 6.5(x + -1.2) + 12.25

Reorder the terms:
3(5.8 + x) = 6.5(x + -1.2) + 12.25
(5.8 * 3 + x * 3) = 6.5(x + -1.2) + 12.25
(17.4 + 3x) = 6.5(x + -1.2) + 12.25

Reorder the terms:
17.4 + 3x = 6.5(-1.2 + x) + 12.25
17.4 + 3x = (-1.2 * 6.5 + x * 6.5) + 12.25
17.4 + 3x = (-7.8 + 6.5x) + 12.25

Reorder the terms:
17.4 + 3x = -7.8 + 12.25 + 6.5x

Combine like terms: -7.8 + 12.25 = 4.45
17.4 + 3x = 4.45 + 6.5x

Solving
17.4 + 3x = 4.45 + 6.5x

Solving for variable 'x'.

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

Add '-6.5x' to each side of the equation.
17.4 + 3x + -6.5x = 4.45 + 6.5x + -6.5x

Combine like terms: 3x + -6.5x = -3.5x
17.4 + -3.5x = 4.45 + 6.5x + -6.5x

Combine like terms: 6.5x + -6.5x = 0.0
17.4 + -3.5x = 4.45 + 0.0
17.4 + -3.5x = 4.45

Add '-17.4' to each side of the equation.
17.4 + -17.4 + -3.5x = 4.45 + -17.4

Combine like terms: 17.4 + -17.4 = 0.0
0.0 + -3.5x = 4.45 + -17.4
-3.5x = 4.45 + -17.4

Combine like terms: 4.45 + -17.4 = -12.95
-3.5x = -12.95

Divide each side by '-3.5'.
x = 3.7

Simplifying
x = 3.7

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