0.14x+0.3(x-3)=0.01(2x-4)

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Solution for 0.14x+0.3(x-3)=0.01(2x-4) equation:


Simplifying
0.14x + 0.3(x + -3) = 0.01(2x + -4)

Reorder the terms:
0.14x + 0.3(-3 + x) = 0.01(2x + -4)
0.14x + (-3 * 0.3 + x * 0.3) = 0.01(2x + -4)
0.14x + (-0.9 + 0.3x) = 0.01(2x + -4)

Reorder the terms:
-0.9 + 0.14x + 0.3x = 0.01(2x + -4)

Combine like terms: 0.14x + 0.3x = 0.44x
-0.9 + 0.44x = 0.01(2x + -4)

Reorder the terms:
-0.9 + 0.44x = 0.01(-4 + 2x)
-0.9 + 0.44x = (-4 * 0.01 + 2x * 0.01)
-0.9 + 0.44x = (-0.04 + 0.02x)

Solving
-0.9 + 0.44x = -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.
-0.9 + 0.44x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.44x + -0.02x = 0.42x
-0.9 + 0.42x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.9 + 0.42x = -0.04 + 0.00
-0.9 + 0.42x = -0.04

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.42x = -0.04 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.42x = -0.04 + 0.9
0.42x = -0.04 + 0.9

Combine like terms: -0.04 + 0.9 = 0.86
0.42x = 0.86

Divide each side by '0.42'.
x = 2.047619048

Simplifying
x = 2.047619048

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