.03x-2(1.6x)-8=3(1.9x-4.1)

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Solution for .03x-2(1.6x)-8=3(1.9x-4.1) equation:


Simplifying
0.03x + -2(1.6x) + -8 = 3(1.9x + -4.1)

Remove parenthesis around (1.6x)
0.03x + -2 * 1.6x + -8 = 3(1.9x + -4.1)

Multiply -2 * 1.6
0.03x + -3.2x + -8 = 3(1.9x + -4.1)

Reorder the terms:
-8 + 0.03x + -3.2x = 3(1.9x + -4.1)

Combine like terms: 0.03x + -3.2x = -3.17x
-8 + -3.17x = 3(1.9x + -4.1)

Reorder the terms:
-8 + -3.17x = 3(-4.1 + 1.9x)
-8 + -3.17x = (-4.1 * 3 + 1.9x * 3)
-8 + -3.17x = (-12.3 + 5.7x)

Solving
-8 + -3.17x = -12.3 + 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 + -3.17x + -5.7x = -12.3 + 5.7x + -5.7x

Combine like terms: -3.17x + -5.7x = -8.87x
-8 + -8.87x = -12.3 + 5.7x + -5.7x

Combine like terms: 5.7x + -5.7x = 0.0
-8 + -8.87x = -12.3 + 0.0
-8 + -8.87x = -12.3

Add '8' to each side of the equation.
-8 + 8 + -8.87x = -12.3 + 8

Combine like terms: -8 + 8 = 0
0 + -8.87x = -12.3 + 8
-8.87x = -12.3 + 8

Combine like terms: -12.3 + 8 = -4.3
-8.87x = -4.3

Divide each side by '-8.87'.
x = 0.4847801578

Simplifying
x = 0.4847801578

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