13(15x-6)=20(2.5x-1.4)-3

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Solution for 13(15x-6)=20(2.5x-1.4)-3 equation: 


Simplifying
13(15x + -6) = 20(2.5x + -1.4) + -3

Reorder the terms:
13(-6 + 15x) = 20(2.5x + -1.4) + -3
(-6 * 13 + 15x * 13) = 20(2.5x + -1.4) + -3
(-78 + 195x) = 20(2.5x + -1.4) + -3

Reorder the terms:
-78 + 195x = 20(-1.4 + 2.5x) + -3
-78 + 195x = (-1.4 * 20 + 2.5x * 20) + -3
-78 + 195x = (-28 + 50x) + -3

Reorder the terms:
-78 + 195x = -28 + -3 + 50x

Combine like terms: -28 + -3 = -31
-78 + 195x = -31 + 50x

Solving
-78 + 195x = -31 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-78 + 195x + -50x = -31 + 50x + -50x

Combine like terms: 195x + -50x = 145x
-78 + 145x = -31 + 50x + -50x

Combine like terms: 50x + -50x = 0
-78 + 145x = -31 + 0
-78 + 145x = -31

Add '78' to each side of the equation.
-78 + 78 + 145x = -31 + 78

Combine like terms: -78 + 78 = 0
0 + 145x = -31 + 78
145x = -31 + 78

Combine like terms: -31 + 78 = 47
145x = 47

Divide each side by '145'.
x = 0.324137931

Simplifying
x = 0.324137931

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