0.4(x-3)=0.75x-5

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Solution for 0.4(x-3)=0.75x-5 equation: 


Simplifying
0.4(x + -3) = 0.75x + -5

Reorder the terms:
0.4(-3 + x) = 0.75x + -5
(-3 * 0.4 + x * 0.4) = 0.75x + -5
(-1.2 + 0.4x) = 0.75x + -5

Reorder the terms:
-1.2 + 0.4x = -5 + 0.75x

Solving
-1.2 + 0.4x = -5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
-1.2 + 0.4x + -0.75x = -5 + 0.75x + -0.75x

Combine like terms: 0.4x + -0.75x = -0.35x
-1.2 + -0.35x = -5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-1.2 + -0.35x = -5 + 0.00
-1.2 + -0.35x = -5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.35x = -5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.35x = -5 + 1.2
-0.35x = -5 + 1.2

Combine like terms: -5 + 1.2 = -3.8
-0.35x = -3.8

Divide each side by '-0.35'.
x = 10.85714286

Simplifying
x = 10.85714286

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