.1x-2.9=.4(x-5)

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Solution for .1x-2.9=.4(x-5) equation:


Simplifying
0.1x + -2.9 = 0.4(x + -5)

Reorder the terms:
-2.9 + 0.1x = 0.4(x + -5)

Reorder the terms:
-2.9 + 0.1x = 0.4(-5 + x)
-2.9 + 0.1x = (-5 * 0.4 + x * 0.4)
-2.9 + 0.1x = (-2 + 0.4x)

Solving
-2.9 + 0.1x = -2 + 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.
-2.9 + 0.1x + -0.4x = -2 + 0.4x + -0.4x

Combine like terms: 0.1x + -0.4x = -0.3x
-2.9 + -0.3x = -2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-2.9 + -0.3x = -2 + 0.0
-2.9 + -0.3x = -2

Add '2.9' to each side of the equation.
-2.9 + 2.9 + -0.3x = -2 + 2.9

Combine like terms: -2.9 + 2.9 = 0.0
0.0 + -0.3x = -2 + 2.9
-0.3x = -2 + 2.9

Combine like terms: -2 + 2.9 = 0.9
-0.3x = 0.9

Divide each side by '-0.3'.
x = -3

Simplifying
x = -3

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