0.14x+0.4(x-3)=0.01(3x-3)

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Solution for 0.14x+0.4(x-3)=0.01(3x-3) equation:


Simplifying
0.14x + 0.4(x + -3) = 0.01(3x + -3)

Reorder the terms:
0.14x + 0.4(-3 + x) = 0.01(3x + -3)
0.14x + (-3 * 0.4 + x * 0.4) = 0.01(3x + -3)
0.14x + (-1.2 + 0.4x) = 0.01(3x + -3)

Reorder the terms:
-1.2 + 0.14x + 0.4x = 0.01(3x + -3)

Combine like terms: 0.14x + 0.4x = 0.54x
-1.2 + 0.54x = 0.01(3x + -3)

Reorder the terms:
-1.2 + 0.54x = 0.01(-3 + 3x)
-1.2 + 0.54x = (-3 * 0.01 + 3x * 0.01)
-1.2 + 0.54x = (-0.03 + 0.03x)

Solving
-1.2 + 0.54x = -0.03 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-1.2 + 0.54x + -0.03x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.54x + -0.03x = 0.51x
-1.2 + 0.51x = -0.03 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1.2 + 0.51x = -0.03 + 0.00
-1.2 + 0.51x = -0.03

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.51x = -0.03 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.51x = -0.03 + 1.2
0.51x = -0.03 + 1.2

Combine like terms: -0.03 + 1.2 = 1.17
0.51x = 1.17

Divide each side by '0.51'.
x = 2.294117647

Simplifying
x = 2.294117647

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