.16x+.5(x-4)=.01(5x-3)

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Solution for .16x+.5(x-4)=.01(5x-3) equation:


Simplifying
0.16x + 0.5(x + -4) = 0.01(5x + -3)

Reorder the terms:
0.16x + 0.5(-4 + x) = 0.01(5x + -3)
0.16x + (-4 * 0.5 + x * 0.5) = 0.01(5x + -3)
0.16x + (-2 + 0.5x) = 0.01(5x + -3)

Reorder the terms:
-2 + 0.16x + 0.5x = 0.01(5x + -3)

Combine like terms: 0.16x + 0.5x = 0.66x
-2 + 0.66x = 0.01(5x + -3)

Reorder the terms:
-2 + 0.66x = 0.01(-3 + 5x)
-2 + 0.66x = (-3 * 0.01 + 5x * 0.01)
-2 + 0.66x = (-0.03 + 0.05x)

Solving
-2 + 0.66x = -0.03 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-2 + 0.66x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.66x + -0.05x = 0.61x
-2 + 0.61x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-2 + 0.61x = -0.03 + 0.00
-2 + 0.61x = -0.03

Add '2' to each side of the equation.
-2 + 2 + 0.61x = -0.03 + 2

Combine like terms: -2 + 2 = 0
0 + 0.61x = -0.03 + 2
0.61x = -0.03 + 2

Combine like terms: -0.03 + 2 = 1.97
0.61x = 1.97

Divide each side by '0.61'.
x = 3.229508197

Simplifying
x = 3.229508197

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