0.4x-6=0.1(x+30)

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Solution for 0.4x-6=0.1(x+30) equation:


Simplifying
0.4x + -6 = 0.1(x + 30)

Reorder the terms:
-6 + 0.4x = 0.1(x + 30)

Reorder the terms:
-6 + 0.4x = 0.1(30 + x)
-6 + 0.4x = (30 * 0.1 + x * 0.1)
-6 + 0.4x = (3 + 0.1x)

Solving
-6 + 0.4x = 3 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-6 + 0.4x + -0.1x = 3 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
-6 + 0.3x = 3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-6 + 0.3x = 3 + 0.0
-6 + 0.3x = 3

Add '6' to each side of the equation.
-6 + 6 + 0.3x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 0.3x = 3 + 6
0.3x = 3 + 6

Combine like terms: 3 + 6 = 9
0.3x = 9

Divide each side by '0.3'.
x = 30

Simplifying
x = 30

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