0.5(x+3)=0.2(x+8)+2

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Solution for 0.5(x+3)=0.2(x+8)+2 equation: 


Simplifying
0.5(x + 3) = 0.2(x + 8) + 2

Reorder the terms:
0.5(3 + x) = 0.2(x + 8) + 2
(3 * 0.5 + x * 0.5) = 0.2(x + 8) + 2
(1.5 + 0.5x) = 0.2(x + 8) + 2

Reorder the terms:
1.5 + 0.5x = 0.2(8 + x) + 2
1.5 + 0.5x = (8 * 0.2 + x * 0.2) + 2
1.5 + 0.5x = (1.6 + 0.2x) + 2

Reorder the terms:
1.5 + 0.5x = 1.6 + 2 + 0.2x

Combine like terms: 1.6 + 2 = 3.6
1.5 + 0.5x = 3.6 + 0.2x

Solving
1.5 + 0.5x = 3.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.5 + 0.5x + -0.2x = 3.6 + 0.2x + -0.2x

Combine like terms: 0.5x + -0.2x = 0.3x
1.5 + 0.3x = 3.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.5 + 0.3x = 3.6 + 0.0
1.5 + 0.3x = 3.6

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.3x = 3.6 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.3x = 3.6 + -1.5
0.3x = 3.6 + -1.5

Combine like terms: 3.6 + -1.5 = 2.1
0.3x = 2.1

Divide each side by '0.3'.
x = 7

Simplifying
x = 7

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