1.7(2x+5)=3(x-8.1)

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Solution for 1.7(2x+5)=3(x-8.1) equation: 


Simplifying
1.7(2x + 5) = 3(x + -8.1)

Reorder the terms:
1.7(5 + 2x) = 3(x + -8.1)
(5 * 1.7 + 2x * 1.7) = 3(x + -8.1)
(8.5 + 3.4x) = 3(x + -8.1)

Reorder the terms:
8.5 + 3.4x = 3(-8.1 + x)
8.5 + 3.4x = (-8.1 * 3 + x * 3)
8.5 + 3.4x = (-24.3 + 3x)

Solving
8.5 + 3.4x = -24.3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8.5 + 3.4x + -3x = -24.3 + 3x + -3x

Combine like terms: 3.4x + -3x = 0.4x
8.5 + 0.4x = -24.3 + 3x + -3x

Combine like terms: 3x + -3x = 0
8.5 + 0.4x = -24.3 + 0
8.5 + 0.4x = -24.3

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 0.4x = -24.3 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 0.4x = -24.3 + -8.5
0.4x = -24.3 + -8.5

Combine like terms: -24.3 + -8.5 = -32.8
0.4x = -32.8

Divide each side by '0.4'.
x = -82

Simplifying
x = -82

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