0.12x+0.3(x-2)=0.01(5x-4)

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Solution for 0.12x+0.3(x-2)=0.01(5x-4) equation:


Simplifying
0.12x + 0.3(x + -2) = 0.01(5x + -4)

Reorder the terms:
0.12x + 0.3(-2 + x) = 0.01(5x + -4)
0.12x + (-2 * 0.3 + x * 0.3) = 0.01(5x + -4)
0.12x + (-0.6 + 0.3x) = 0.01(5x + -4)

Reorder the terms:
-0.6 + 0.12x + 0.3x = 0.01(5x + -4)

Combine like terms: 0.12x + 0.3x = 0.42x
-0.6 + 0.42x = 0.01(5x + -4)

Reorder the terms:
-0.6 + 0.42x = 0.01(-4 + 5x)
-0.6 + 0.42x = (-4 * 0.01 + 5x * 0.01)
-0.6 + 0.42x = (-0.04 + 0.05x)

Solving
-0.6 + 0.42x = -0.04 + 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.
-0.6 + 0.42x + -0.05x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.42x + -0.05x = 0.37x
-0.6 + 0.37x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.6 + 0.37x = -0.04 + 0.00
-0.6 + 0.37x = -0.04

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.37x = -0.04 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.37x = -0.04 + 0.6
0.37x = -0.04 + 0.6

Combine like terms: -0.04 + 0.6 = 0.56
0.37x = 0.56

Divide each side by '0.37'.
x = 1.513513514

Simplifying
x = 1.513513514

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