0.15x+0.2(x-1)=0.01(2x-4)

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Solution for 0.15x+0.2(x-1)=0.01(2x-4) equation:


Simplifying
0.15x + 0.2(x + -1) = 0.01(2x + -4)

Reorder the terms:
0.15x + 0.2(-1 + x) = 0.01(2x + -4)
0.15x + (-1 * 0.2 + x * 0.2) = 0.01(2x + -4)
0.15x + (-0.2 + 0.2x) = 0.01(2x + -4)

Reorder the terms:
-0.2 + 0.15x + 0.2x = 0.01(2x + -4)

Combine like terms: 0.15x + 0.2x = 0.35x
-0.2 + 0.35x = 0.01(2x + -4)

Reorder the terms:
-0.2 + 0.35x = 0.01(-4 + 2x)
-0.2 + 0.35x = (-4 * 0.01 + 2x * 0.01)
-0.2 + 0.35x = (-0.04 + 0.02x)

Solving
-0.2 + 0.35x = -0.04 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.2 + 0.35x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.35x + -0.02x = 0.33x
-0.2 + 0.33x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.2 + 0.33x = -0.04 + 0.00
-0.2 + 0.33x = -0.04

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.33x = -0.04 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.33x = -0.04 + 0.2
0.33x = -0.04 + 0.2

Combine like terms: -0.04 + 0.2 = 0.16
0.33x = 0.16

Divide each side by '0.33'.
x = 0.4848484848

Simplifying
x = 0.4848484848

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