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

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


Simplifying
0.2(x + 4) + -5 = 2x + 3

Reorder the terms:
0.2(4 + x) + -5 = 2x + 3
(4 * 0.2 + x * 0.2) + -5 = 2x + 3
(0.8 + 0.2x) + -5 = 2x + 3

Reorder the terms:
0.8 + -5 + 0.2x = 2x + 3

Combine like terms: 0.8 + -5 = -4.2
-4.2 + 0.2x = 2x + 3

Reorder the terms:
-4.2 + 0.2x = 3 + 2x

Solving
-4.2 + 0.2x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4.2 + 0.2x + -2x = 3 + 2x + -2x

Combine like terms: 0.2x + -2x = -1.8x
-4.2 + -1.8x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4.2 + -1.8x = 3 + 0
-4.2 + -1.8x = 3

Add '4.2' to each side of the equation.
-4.2 + 4.2 + -1.8x = 3 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -1.8x = 3 + 4.2
-1.8x = 3 + 4.2

Combine like terms: 3 + 4.2 = 7.2
-1.8x = 7.2

Divide each side by '-1.8'.
x = -4

Simplifying
x = -4

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