1.3(x+6)=2.3(x-9)

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Solution for 1.3(x+6)=2.3(x-9) equation: 


Simplifying
1.3(x + 6) = 2.3(x + -9)

Reorder the terms:
1.3(6 + x) = 2.3(x + -9)
(6 * 1.3 + x * 1.3) = 2.3(x + -9)
(7.8 + 1.3x) = 2.3(x + -9)

Reorder the terms:
7.8 + 1.3x = 2.3(-9 + x)
7.8 + 1.3x = (-9 * 2.3 + x * 2.3)
7.8 + 1.3x = (-20.7 + 2.3x)

Solving
7.8 + 1.3x = -20.7 + 2.3x

Solving for variable 'x'.

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

Add '-2.3x' to each side of the equation.
7.8 + 1.3x + -2.3x = -20.7 + 2.3x + -2.3x

Combine like terms: 1.3x + -2.3x = -1x
7.8 + -1x = -20.7 + 2.3x + -2.3x

Combine like terms: 2.3x + -2.3x = 0.0
7.8 + -1x = -20.7 + 0.0
7.8 + -1x = -20.7

Add '-7.8' to each side of the equation.
7.8 + -7.8 + -1x = -20.7 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + -1x = -20.7 + -7.8
-1x = -20.7 + -7.8

Combine like terms: -20.7 + -7.8 = -28.5
-1x = -28.5

Divide each side by '-1'.
x = 28.5

Simplifying
x = 28.5

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