-6.7(3x+5)-1.3(4x-6)=

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Solution for -6.7(3x+5)-1.3(4x-6)= equation: 


Simplifying
-6.7(3x + 5) + -1.3(4x + -6) = 0

Reorder the terms:
-6.7(5 + 3x) + -1.3(4x + -6) = 0
(5 * -6.7 + 3x * -6.7) + -1.3(4x + -6) = 0
(-33.5 + -20.1x) + -1.3(4x + -6) = 0

Reorder the terms:
-33.5 + -20.1x + -1.3(-6 + 4x) = 0
-33.5 + -20.1x + (-6 * -1.3 + 4x * -1.3) = 0
-33.5 + -20.1x + (7.8 + -5.2x) = 0

Reorder the terms:
-33.5 + 7.8 + -20.1x + -5.2x = 0

Combine like terms: -33.5 + 7.8 = -25.7
-25.7 + -20.1x + -5.2x = 0

Combine like terms: -20.1x + -5.2x = -25.3x
-25.7 + -25.3x = 0

Solving
-25.7 + -25.3x = 0

Solving for variable 'x'.

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

Add '25.7' to each side of the equation.
-25.7 + 25.7 + -25.3x = 0 + 25.7

Combine like terms: -25.7 + 25.7 = 0.0
0.0 + -25.3x = 0 + 25.7
-25.3x = 0 + 25.7

Combine like terms: 0 + 25.7 = 25.7
-25.3x = 25.7

Divide each side by '-25.3'.
x = -1.015810277

Simplifying
x = -1.015810277

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