.3x+1.8=4(x+5)-.2

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Solution for .3x+1.8=4(x+5)-.2 equation: 


Simplifying
0.3x + 1.8 = 4(x + 5) + -0.2

Reorder the terms:
1.8 + 0.3x = 4(x + 5) + -0.2

Reorder the terms:
1.8 + 0.3x = 4(5 + x) + -0.2
1.8 + 0.3x = (5 * 4 + x * 4) + -0.2
1.8 + 0.3x = (20 + 4x) + -0.2

Reorder the terms:
1.8 + 0.3x = 20 + -0.2 + 4x

Combine like terms: 20 + -0.2 = 19.8
1.8 + 0.3x = 19.8 + 4x

Solving
1.8 + 0.3x = 19.8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1.8 + 0.3x + -4x = 19.8 + 4x + -4x

Combine like terms: 0.3x + -4x = -3.7x
1.8 + -3.7x = 19.8 + 4x + -4x

Combine like terms: 4x + -4x = 0
1.8 + -3.7x = 19.8 + 0
1.8 + -3.7x = 19.8

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -3.7x = 19.8 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -3.7x = 19.8 + -1.8
-3.7x = 19.8 + -1.8

Combine like terms: 19.8 + -1.8 = 18
-3.7x = 18

Divide each side by '-3.7'.
x = -4.864864865

Simplifying
x = -4.864864865

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