0.4(x-3)=0.04(3x+40)

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Solution for 0.4(x-3)=0.04(3x+40) equation:


Simplifying
0.4(x + -3) = 0.04(3x + 40)

Reorder the terms:
0.4(-3 + x) = 0.04(3x + 40)
(-3 * 0.4 + x * 0.4) = 0.04(3x + 40)
(-1.2 + 0.4x) = 0.04(3x + 40)

Reorder the terms:
-1.2 + 0.4x = 0.04(40 + 3x)
-1.2 + 0.4x = (40 * 0.04 + 3x * 0.04)
-1.2 + 0.4x = (1.6 + 0.12x)

Solving
-1.2 + 0.4x = 1.6 + 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 + 0.4x + -0.12x = 1.6 + 0.12x + -0.12x

Combine like terms: 0.4x + -0.12x = 0.28x
-1.2 + 0.28x = 1.6 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
-1.2 + 0.28x = 1.6 + 0.00
-1.2 + 0.28x = 1.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.28x = 1.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.28x = 1.6 + 1.2
0.28x = 1.6 + 1.2

Combine like terms: 1.6 + 1.2 = 2.8
0.28x = 2.8

Divide each side by '0.28'.
x = 10

Simplifying
x = 10

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