0.17x+0.2(x-4)=0.01(2x-3)

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Solution for 0.17x+0.2(x-4)=0.01(2x-3) equation:


Simplifying
0.17x + 0.2(x + -4) = 0.01(2x + -3)

Reorder the terms:
0.17x + 0.2(-4 + x) = 0.01(2x + -3)
0.17x + (-4 * 0.2 + x * 0.2) = 0.01(2x + -3)
0.17x + (-0.8 + 0.2x) = 0.01(2x + -3)

Reorder the terms:
-0.8 + 0.17x + 0.2x = 0.01(2x + -3)

Combine like terms: 0.17x + 0.2x = 0.37x
-0.8 + 0.37x = 0.01(2x + -3)

Reorder the terms:
-0.8 + 0.37x = 0.01(-3 + 2x)
-0.8 + 0.37x = (-3 * 0.01 + 2x * 0.01)
-0.8 + 0.37x = (-0.03 + 0.02x)

Solving
-0.8 + 0.37x = -0.03 + 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.
-0.8 + 0.37x + -0.02x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.37x + -0.02x = 0.35x
-0.8 + 0.35x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.8 + 0.35x = -0.03 + 0.00
-0.8 + 0.35x = -0.03

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.35x = -0.03 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.35x = -0.03 + 0.8
0.35x = -0.03 + 0.8

Combine like terms: -0.03 + 0.8 = 0.77
0.35x = 0.77

Divide each side by '0.35'.
x = 2.2

Simplifying
x = 2.2

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