0.16x+0.9(x-5)=0.01(4x-3)

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Solution for 0.16x+0.9(x-5)=0.01(4x-3) equation:


Simplifying
0.16x + 0.9(x + -5) = 0.01(4x + -3)

Reorder the terms:
0.16x + 0.9(-5 + x) = 0.01(4x + -3)
0.16x + (-5 * 0.9 + x * 0.9) = 0.01(4x + -3)
0.16x + (-4.5 + 0.9x) = 0.01(4x + -3)

Reorder the terms:
-4.5 + 0.16x + 0.9x = 0.01(4x + -3)

Combine like terms: 0.16x + 0.9x = 1.06x
-4.5 + 1.06x = 0.01(4x + -3)

Reorder the terms:
-4.5 + 1.06x = 0.01(-3 + 4x)
-4.5 + 1.06x = (-3 * 0.01 + 4x * 0.01)
-4.5 + 1.06x = (-0.03 + 0.04x)

Solving
-4.5 + 1.06x = -0.03 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-4.5 + 1.06x + -0.04x = -0.03 + 0.04x + -0.04x

Combine like terms: 1.06x + -0.04x = 1.02x
-4.5 + 1.02x = -0.03 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-4.5 + 1.02x = -0.03 + 0.00
-4.5 + 1.02x = -0.03

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.02x = -0.03 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.02x = -0.03 + 4.5
1.02x = -0.03 + 4.5

Combine like terms: -0.03 + 4.5 = 4.47
1.02x = 4.47

Divide each side by '1.02'.
x = 4.382352941

Simplifying
x = 4.382352941

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