2.1(3x-5)+0.3=5(3x-1)

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Solution for 2.1(3x-5)+0.3=5(3x-1) equation: 


Simplifying
2.1(3x + -5) + 0.3 = 5(3x + -1)

Reorder the terms:
2.1(-5 + 3x) + 0.3 = 5(3x + -1)
(-5 * 2.1 + 3x * 2.1) + 0.3 = 5(3x + -1)
(-10.5 + 6.3x) + 0.3 = 5(3x + -1)

Reorder the terms:
-10.5 + 0.3 + 6.3x = 5(3x + -1)

Combine like terms: -10.5 + 0.3 = -10.2
-10.2 + 6.3x = 5(3x + -1)

Reorder the terms:
-10.2 + 6.3x = 5(-1 + 3x)
-10.2 + 6.3x = (-1 * 5 + 3x * 5)
-10.2 + 6.3x = (-5 + 15x)

Solving
-10.2 + 6.3x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-10.2 + 6.3x + -15x = -5 + 15x + -15x

Combine like terms: 6.3x + -15x = -8.7x
-10.2 + -8.7x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-10.2 + -8.7x = -5 + 0
-10.2 + -8.7x = -5

Add '10.2' to each side of the equation.
-10.2 + 10.2 + -8.7x = -5 + 10.2

Combine like terms: -10.2 + 10.2 = 0.0
0.0 + -8.7x = -5 + 10.2
-8.7x = -5 + 10.2

Combine like terms: -5 + 10.2 = 5.2
-8.7x = 5.2

Divide each side by '-8.7'.
x = -0.5977011494

Simplifying
x = -0.5977011494

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