0.5(x-3)=0.4(x+1)

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Solution for 0.5(x-3)=0.4(x+1) equation: 


Simplifying
0.5(x + -3) = 0.4(x + 1)

Reorder the terms:
0.5(-3 + x) = 0.4(x + 1)
(-3 * 0.5 + x * 0.5) = 0.4(x + 1)
(-1.5 + 0.5x) = 0.4(x + 1)

Reorder the terms:
-1.5 + 0.5x = 0.4(1 + x)
-1.5 + 0.5x = (1 * 0.4 + x * 0.4)
-1.5 + 0.5x = (0.4 + 0.4x)

Solving
-1.5 + 0.5x = 0.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-1.5 + 0.5x + -0.4x = 0.4 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
-1.5 + 0.1x = 0.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-1.5 + 0.1x = 0.4 + 0.0
-1.5 + 0.1x = 0.4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1x = 0.4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1x = 0.4 + 1.5
0.1x = 0.4 + 1.5

Combine like terms: 0.4 + 1.5 = 1.9
0.1x = 1.9

Divide each side by '0.1'.
x = 19

Simplifying
x = 19

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