0.15x+0.9(x-5)=0.01(5x-3)

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Solution for 0.15x+0.9(x-5)=0.01(5x-3) equation:


Simplifying
0.15x + 0.9(x + -5) = 0.01(5x + -3)

Reorder the terms:
0.15x + 0.9(-5 + x) = 0.01(5x + -3)
0.15x + (-5 * 0.9 + x * 0.9) = 0.01(5x + -3)
0.15x + (-4.5 + 0.9x) = 0.01(5x + -3)

Reorder the terms:
-4.5 + 0.15x + 0.9x = 0.01(5x + -3)

Combine like terms: 0.15x + 0.9x = 1.05x
-4.5 + 1.05x = 0.01(5x + -3)

Reorder the terms:
-4.5 + 1.05x = 0.01(-3 + 5x)
-4.5 + 1.05x = (-3 * 0.01 + 5x * 0.01)
-4.5 + 1.05x = (-0.03 + 0.05x)

Solving
-4.5 + 1.05x = -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.
-4.5 + 1.05x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 1.05x + -0.05x = 1x
-4.5 + 1x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-4.5 + 1x = -0.03 + 0.00
-4.5 + 1x = -0.03

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1x = -0.03 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1x = -0.03 + 4.5
1x = -0.03 + 4.5

Combine like terms: -0.03 + 4.5 = 4.47
1x = 4.47

Divide each side by '1'.
x = 4.47

Simplifying
x = 4.47

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