5(x+1.3)=-3(x+2.5)

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Solution for 5(x+1.3)=-3(x+2.5) equation: 


Simplifying
5(x + 1.3) = -3(x + 2.5)

Reorder the terms:
5(1.3 + x) = -3(x + 2.5)
(1.3 * 5 + x * 5) = -3(x + 2.5)
(6.5 + 5x) = -3(x + 2.5)

Reorder the terms:
6.5 + 5x = -3(2.5 + x)
6.5 + 5x = (2.5 * -3 + x * -3)
6.5 + 5x = (-7.5 + -3x)

Solving
6.5 + 5x = -7.5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6.5 + 5x + 3x = -7.5 + -3x + 3x

Combine like terms: 5x + 3x = 8x
6.5 + 8x = -7.5 + -3x + 3x

Combine like terms: -3x + 3x = 0
6.5 + 8x = -7.5 + 0
6.5 + 8x = -7.5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 8x = -7.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 8x = -7.5 + -6.5
8x = -7.5 + -6.5

Combine like terms: -7.5 + -6.5 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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