-5.1(2x+5)-2.5(4x-6)=

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Solution for -5.1(2x+5)-2.5(4x-6)= equation: 


Simplifying
-5.1(2x + 5) + -2.5(4x + -6) = 0

Reorder the terms:
-5.1(5 + 2x) + -2.5(4x + -6) = 0
(5 * -5.1 + 2x * -5.1) + -2.5(4x + -6) = 0
(-25.5 + -10.2x) + -2.5(4x + -6) = 0

Reorder the terms:
-25.5 + -10.2x + -2.5(-6 + 4x) = 0
-25.5 + -10.2x + (-6 * -2.5 + 4x * -2.5) = 0
-25.5 + -10.2x + (15 + -10x) = 0

Reorder the terms:
-25.5 + 15 + -10.2x + -10x = 0

Combine like terms: -25.5 + 15 = -10.5
-10.5 + -10.2x + -10x = 0

Combine like terms: -10.2x + -10x = -20.2x
-10.5 + -20.2x = 0

Solving
-10.5 + -20.2x = 0

Solving for variable 'x'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + -20.2x = 0 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + -20.2x = 0 + 10.5
-20.2x = 0 + 10.5

Combine like terms: 0 + 10.5 = 10.5
-20.2x = 10.5

Divide each side by '-20.2'.
x = -0.5198019802

Simplifying
x = -0.5198019802

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