0.3(x-2)=0.4x-3+0.1x+4

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Solution for 0.3(x-2)=0.4x-3+0.1x+4 equation: 


Simplifying
0.3(x + -2) = 0.4x + -3 + 0.1x + 4

Reorder the terms:
0.3(-2 + x) = 0.4x + -3 + 0.1x + 4
(-2 * 0.3 + x * 0.3) = 0.4x + -3 + 0.1x + 4
(-0.6 + 0.3x) = 0.4x + -3 + 0.1x + 4

Reorder the terms:
-0.6 + 0.3x = -3 + 4 + 0.4x + 0.1x

Combine like terms: -3 + 4 = 1
-0.6 + 0.3x = 1 + 0.4x + 0.1x

Combine like terms: 0.4x + 0.1x = 0.5x
-0.6 + 0.3x = 1 + 0.5x

Solving
-0.6 + 0.3x = 1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.6 + 0.3x + -0.5x = 1 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
-0.6 + -0.2x = 1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.6 + -0.2x = 1 + 0.0
-0.6 + -0.2x = 1

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -0.2x = 1 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -0.2x = 1 + 0.6
-0.2x = 1 + 0.6

Combine like terms: 1 + 0.6 = 1.6
-0.2x = 1.6

Divide each side by '-0.2'.
x = -8

Simplifying
x = -8

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