0.3x+1.8=0.4(x-5)-0.2

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Solution for 0.3x+1.8=0.4(x-5)-0.2 equation: 


Simplifying
0.3x + 1.8 = 0.4(x + -5) + -0.2

Reorder the terms:
1.8 + 0.3x = 0.4(x + -5) + -0.2

Reorder the terms:
1.8 + 0.3x = 0.4(-5 + x) + -0.2
1.8 + 0.3x = (-5 * 0.4 + x * 0.4) + -0.2
1.8 + 0.3x = (-2 + 0.4x) + -0.2

Reorder the terms:
1.8 + 0.3x = -2 + -0.2 + 0.4x

Combine like terms: -2 + -0.2 = -2.2
1.8 + 0.3x = -2.2 + 0.4x

Solving
1.8 + 0.3x = -2.2 + 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.
1.8 + 0.3x + -0.4x = -2.2 + 0.4x + -0.4x

Combine like terms: 0.3x + -0.4x = -0.1x
1.8 + -0.1x = -2.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1.8 + -0.1x = -2.2 + 0.0
1.8 + -0.1x = -2.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.1x = -2.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.1x = -2.2 + -1.8
-0.1x = -2.2 + -1.8

Combine like terms: -2.2 + -1.8 = -4
-0.1x = -4

Divide each side by '-0.1'.
x = 40

Simplifying
x = 40

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