0.5(x-2)+1.76=0.3x+0.8

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Solution for 0.5(x-2)+1.76=0.3x+0.8 equation: 


Simplifying
0.5(x + -2) + 1.76 = 0.3x + 0.8

Reorder the terms:
0.5(-2 + x) + 1.76 = 0.3x + 0.8
(-2 * 0.5 + x * 0.5) + 1.76 = 0.3x + 0.8
(-1 + 0.5x) + 1.76 = 0.3x + 0.8

Reorder the terms:
-1 + 1.76 + 0.5x = 0.3x + 0.8

Combine like terms: -1 + 1.76 = 0.76
0.76 + 0.5x = 0.3x + 0.8

Reorder the terms:
0.76 + 0.5x = 0.8 + 0.3x

Solving
0.76 + 0.5x = 0.8 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.76 + 0.5x + -0.3x = 0.8 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
0.76 + 0.2x = 0.8 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.76 + 0.2x = 0.8 + 0.0
0.76 + 0.2x = 0.8

Add '-0.76' to each side of the equation.
0.76 + -0.76 + 0.2x = 0.8 + -0.76

Combine like terms: 0.76 + -0.76 = 0.00
0.00 + 0.2x = 0.8 + -0.76
0.2x = 0.8 + -0.76

Combine like terms: 0.8 + -0.76 = 0.04
0.2x = 0.04

Divide each side by '0.2'.
x = 0.2

Simplifying
x = 0.2

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