0.3(x-4)=0.03(4x-8)

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Solution for 0.3(x-4)=0.03(4x-8) equation: 


Simplifying
0.3(x + -4) = 0.03(4x + -8)

Reorder the terms:
0.3(-4 + x) = 0.03(4x + -8)
(-4 * 0.3 + x * 0.3) = 0.03(4x + -8)
(-1.2 + 0.3x) = 0.03(4x + -8)

Reorder the terms:
-1.2 + 0.3x = 0.03(-8 + 4x)
-1.2 + 0.3x = (-8 * 0.03 + 4x * 0.03)
-1.2 + 0.3x = (-0.24 + 0.12x)

Solving
-1.2 + 0.3x = -0.24 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
-1.2 + 0.3x + -0.12x = -0.24 + 0.12x + -0.12x

Combine like terms: 0.3x + -0.12x = 0.18x
-1.2 + 0.18x = -0.24 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
-1.2 + 0.18x = -0.24 + 0.00
-1.2 + 0.18x = -0.24

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.18x = -0.24 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.18x = -0.24 + 1.2
0.18x = -0.24 + 1.2

Combine like terms: -0.24 + 1.2 = 0.96
0.18x = 0.96

Divide each side by '0.18'.
x = 5.333333333

Simplifying
x = 5.333333333

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