.3x-2(1.6x)-8=3(1.9x)-4.1

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Solution for .3x-2(1.6x)-8=3(1.9x)-4.1 equation:


Simplifying
0.3x + -2(1.6x) + -8 = 3(1.9x) + -4.1

Remove parenthesis around (1.6x)
0.3x + -2 * 1.6x + -8 = 3(1.9x) + -4.1

Multiply -2 * 1.6
0.3x + -3.2x + -8 = 3(1.9x) + -4.1

Reorder the terms:
-8 + 0.3x + -3.2x = 3(1.9x) + -4.1

Combine like terms: 0.3x + -3.2x = -2.9x
-8 + -2.9x = 3(1.9x) + -4.1

Remove parenthesis around (1.9x)
-8 + -2.9x = 3 * 1.9x + -4.1

Multiply 3 * 1.9
-8 + -2.9x = 5.7x + -4.1

Reorder the terms:
-8 + -2.9x = -4.1 + 5.7x

Solving
-8 + -2.9x = -4.1 + 5.7x

Solving for variable 'x'.

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

Add '-5.7x' to each side of the equation.
-8 + -2.9x + -5.7x = -4.1 + 5.7x + -5.7x

Combine like terms: -2.9x + -5.7x = -8.6x
-8 + -8.6x = -4.1 + 5.7x + -5.7x

Combine like terms: 5.7x + -5.7x = 0.0
-8 + -8.6x = -4.1 + 0.0
-8 + -8.6x = -4.1

Add '8' to each side of the equation.
-8 + 8 + -8.6x = -4.1 + 8

Combine like terms: -8 + 8 = 0
0 + -8.6x = -4.1 + 8
-8.6x = -4.1 + 8

Combine like terms: -4.1 + 8 = 3.9
-8.6x = 3.9

Divide each side by '-8.6'.
x = -0.4534883721

Simplifying
x = -0.4534883721

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