0.15x+0.5(x-5)=0.01(3x-2)

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Solution for 0.15x+0.5(x-5)=0.01(3x-2) equation:


Simplifying
0.15x + 0.5(x + -5) = 0.01(3x + -2)

Reorder the terms:
0.15x + 0.5(-5 + x) = 0.01(3x + -2)
0.15x + (-5 * 0.5 + x * 0.5) = 0.01(3x + -2)
0.15x + (-2.5 + 0.5x) = 0.01(3x + -2)

Reorder the terms:
-2.5 + 0.15x + 0.5x = 0.01(3x + -2)

Combine like terms: 0.15x + 0.5x = 0.65x
-2.5 + 0.65x = 0.01(3x + -2)

Reorder the terms:
-2.5 + 0.65x = 0.01(-2 + 3x)
-2.5 + 0.65x = (-2 * 0.01 + 3x * 0.01)
-2.5 + 0.65x = (-0.02 + 0.03x)

Solving
-2.5 + 0.65x = -0.02 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-2.5 + 0.65x + -0.03x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.65x + -0.03x = 0.62x
-2.5 + 0.62x = -0.02 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-2.5 + 0.62x = -0.02 + 0.00
-2.5 + 0.62x = -0.02

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.62x = -0.02 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.62x = -0.02 + 2.5
0.62x = -0.02 + 2.5

Combine like terms: -0.02 + 2.5 = 2.48
0.62x = 2.48

Divide each side by '0.62'.
x = 4

Simplifying
x = 4

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