-5.2(3x+6)-1.3(2x-5)=

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Solution for -5.2(3x+6)-1.3(2x-5)= equation: 


Simplifying
-5.2(3x + 6) + -1.3(2x + -5) = 0

Reorder the terms:
-5.2(6 + 3x) + -1.3(2x + -5) = 0
(6 * -5.2 + 3x * -5.2) + -1.3(2x + -5) = 0
(-31.2 + -15.6x) + -1.3(2x + -5) = 0

Reorder the terms:
-31.2 + -15.6x + -1.3(-5 + 2x) = 0
-31.2 + -15.6x + (-5 * -1.3 + 2x * -1.3) = 0
-31.2 + -15.6x + (6.5 + -2.6x) = 0

Reorder the terms:
-31.2 + 6.5 + -15.6x + -2.6x = 0

Combine like terms: -31.2 + 6.5 = -24.7
-24.7 + -15.6x + -2.6x = 0

Combine like terms: -15.6x + -2.6x = -18.2x
-24.7 + -18.2x = 0

Solving
-24.7 + -18.2x = 0

Solving for variable 'x'.

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

Add '24.7' to each side of the equation.
-24.7 + 24.7 + -18.2x = 0 + 24.7

Combine like terms: -24.7 + 24.7 = 0.0
0.0 + -18.2x = 0 + 24.7
-18.2x = 0 + 24.7

Combine like terms: 0 + 24.7 = 24.7
-18.2x = 24.7

Divide each side by '-18.2'.
x = -1.357142857

Simplifying
x = -1.357142857

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