0.05(x-0.1)+0.03(2x-2)=0.4(3x+0.11)

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Solution for 0.05(x-0.1)+0.03(2x-2)=0.4(3x+0.11) equation: 


Simplifying
0.05(x + -0.1) + 0.03(2x + -2) = 0.4(3x + 0.11)

Reorder the terms:
0.05(-0.1 + x) + 0.03(2x + -2) = 0.4(3x + 0.11)
(-0.1 * 0.05 + x * 0.05) + 0.03(2x + -2) = 0.4(3x + 0.11)
(-0.005 + 0.05x) + 0.03(2x + -2) = 0.4(3x + 0.11)

Reorder the terms:
-0.005 + 0.05x + 0.03(-2 + 2x) = 0.4(3x + 0.11)
-0.005 + 0.05x + (-2 * 0.03 + 2x * 0.03) = 0.4(3x + 0.11)
-0.005 + 0.05x + (-0.06 + 0.06x) = 0.4(3x + 0.11)

Reorder the terms:
-0.005 + -0.06 + 0.05x + 0.06x = 0.4(3x + 0.11)

Combine like terms: -0.005 + -0.06 = -0.065
-0.065 + 0.05x + 0.06x = 0.4(3x + 0.11)

Combine like terms: 0.05x + 0.06x = 0.11x
-0.065 + 0.11x = 0.4(3x + 0.11)

Reorder the terms:
-0.065 + 0.11x = 0.4(0.11 + 3x)
-0.065 + 0.11x = (0.11 * 0.4 + 3x * 0.4)
-0.065 + 0.11x = (0.044 + 1.2x)

Solving
-0.065 + 0.11x = 0.044 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.065 + 0.11x + -1.2x = 0.044 + 1.2x + -1.2x

Combine like terms: 0.11x + -1.2x = -1.09x
-0.065 + -1.09x = 0.044 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.065 + -1.09x = 0.044 + 0.0
-0.065 + -1.09x = 0.044

Add '0.065' to each side of the equation.
-0.065 + 0.065 + -1.09x = 0.044 + 0.065

Combine like terms: -0.065 + 0.065 = 0.000
0.000 + -1.09x = 0.044 + 0.065
-1.09x = 0.044 + 0.065

Combine like terms: 0.044 + 0.065 = 0.109
-1.09x = 0.109

Divide each side by '-1.09'.
x = -0.1

Simplifying
x = -0.1

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