1.3(x+5)=2.3(x-3)

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Solution for 1.3(x+5)=2.3(x-3) equation: 


Simplifying
1.3(x + 5) = 2.3(x + -3)

Reorder the terms:
1.3(5 + x) = 2.3(x + -3)
(5 * 1.3 + x * 1.3) = 2.3(x + -3)
(6.5 + 1.3x) = 2.3(x + -3)

Reorder the terms:
6.5 + 1.3x = 2.3(-3 + x)
6.5 + 1.3x = (-3 * 2.3 + x * 2.3)
6.5 + 1.3x = (-6.9 + 2.3x)

Solving
6.5 + 1.3x = -6.9 + 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.
6.5 + 1.3x + -2.3x = -6.9 + 2.3x + -2.3x

Combine like terms: 1.3x + -2.3x = -1x
6.5 + -1x = -6.9 + 2.3x + -2.3x

Combine like terms: 2.3x + -2.3x = 0.0
6.5 + -1x = -6.9 + 0.0
6.5 + -1x = -6.9

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -1x = -6.9 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -1x = -6.9 + -6.5
-1x = -6.9 + -6.5

Combine like terms: -6.9 + -6.5 = -13.4
-1x = -13.4

Divide each side by '-1'.
x = 13.4

Simplifying
x = 13.4

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