0.4(x-2)=0.15(x-4)

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Solution for 0.4(x-2)=0.15(x-4) equation:


Simplifying
0.4(x + -2) = 0.15(x + -4)

Reorder the terms:
0.4(-2 + x) = 0.15(x + -4)
(-2 * 0.4 + x * 0.4) = 0.15(x + -4)
(-0.8 + 0.4x) = 0.15(x + -4)

Reorder the terms:
-0.8 + 0.4x = 0.15(-4 + x)
-0.8 + 0.4x = (-4 * 0.15 + x * 0.15)
-0.8 + 0.4x = (-0.6 + 0.15x)

Solving
-0.8 + 0.4x = -0.6 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
-0.8 + 0.4x + -0.15x = -0.6 + 0.15x + -0.15x

Combine like terms: 0.4x + -0.15x = 0.25x
-0.8 + 0.25x = -0.6 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
-0.8 + 0.25x = -0.6 + 0.00
-0.8 + 0.25x = -0.6

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.25x = -0.6 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.25x = -0.6 + 0.8
0.25x = -0.6 + 0.8

Combine like terms: -0.6 + 0.8 = 0.2
0.25x = 0.2

Divide each side by '0.25'.
x = 0.8

Simplifying
x = 0.8

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