0.8(3+x)=0.5(2x-3)-0.1

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Solution for 0.8(3+x)=0.5(2x-3)-0.1 equation: 


Simplifying
0.8(3 + x) = 0.5(2x + -3) + -0.1
(3 * 0.8 + x * 0.8) = 0.5(2x + -3) + -0.1
(2.4 + 0.8x) = 0.5(2x + -3) + -0.1

Reorder the terms:
2.4 + 0.8x = 0.5(-3 + 2x) + -0.1
2.4 + 0.8x = (-3 * 0.5 + 2x * 0.5) + -0.1
2.4 + 0.8x = (-1.5 + 1x) + -0.1

Reorder the terms:
2.4 + 0.8x = -1.5 + -0.1 + 1x

Combine like terms: -1.5 + -0.1 = -1.6
2.4 + 0.8x = -1.6 + 1x

Solving
2.4 + 0.8x = -1.6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.4 + 0.8x + -1x = -1.6 + 1x + -1x

Combine like terms: 0.8x + -1x = -0.2x
2.4 + -0.2x = -1.6 + 1x + -1x

Combine like terms: 1x + -1x = 0
2.4 + -0.2x = -1.6 + 0
2.4 + -0.2x = -1.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.2x = -1.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.2x = -1.6 + -2.4
-0.2x = -1.6 + -2.4

Combine like terms: -1.6 + -2.4 = -4
-0.2x = -4

Divide each side by '-0.2'.
x = 20

Simplifying
x = 20

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