0.3(x-4)+x=0.5(3-x)

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Solution for 0.3(x-4)+x=0.5(3-x) equation: 


Simplifying
0.3(x + -4) + x = 0.5(3 + -1x)

Reorder the terms:
0.3(-4 + x) + x = 0.5(3 + -1x)
(-4 * 0.3 + x * 0.3) + x = 0.5(3 + -1x)
(-1.2 + 0.3x) + x = 0.5(3 + -1x)

Combine like terms: 0.3x + x = 1.3x
-1.2 + 1.3x = 0.5(3 + -1x)
-1.2 + 1.3x = (3 * 0.5 + -1x * 0.5)
-1.2 + 1.3x = (1.5 + -0.5x)

Solving
-1.2 + 1.3x = 1.5 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-1.2 + 1.3x + 0.5x = 1.5 + -0.5x + 0.5x

Combine like terms: 1.3x + 0.5x = 1.8x
-1.2 + 1.8x = 1.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1.2 + 1.8x = 1.5 + 0.0
-1.2 + 1.8x = 1.5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.8x = 1.5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.8x = 1.5 + 1.2
1.8x = 1.5 + 1.2

Combine like terms: 1.5 + 1.2 = 2.7
1.8x = 2.7

Divide each side by '1.8'.
x = 1.5

Simplifying
x = 1.5

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