.05x-3=.4(x-4)

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Solution for .05x-3=.4(x-4) equation:


Simplifying
0.05x + -3 = 0.4(x + -4)

Reorder the terms:
-3 + 0.05x = 0.4(x + -4)

Reorder the terms:
-3 + 0.05x = 0.4(-4 + x)
-3 + 0.05x = (-4 * 0.4 + x * 0.4)
-3 + 0.05x = (-1.6 + 0.4x)

Solving
-3 + 0.05x = -1.6 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-3 + 0.05x + -0.4x = -1.6 + 0.4x + -0.4x

Combine like terms: 0.05x + -0.4x = -0.35x
-3 + -0.35x = -1.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-3 + -0.35x = -1.6 + 0.0
-3 + -0.35x = -1.6

Add '3' to each side of the equation.
-3 + 3 + -0.35x = -1.6 + 3

Combine like terms: -3 + 3 = 0
0 + -0.35x = -1.6 + 3
-0.35x = -1.6 + 3

Combine like terms: -1.6 + 3 = 1.4
-0.35x = 1.4

Divide each side by '-0.35'.
x = -4

Simplifying
x = -4

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