.5(3x-1)=.4(3x+1)

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Solution for .5(3x-1)=.4(3x+1) equation: 


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

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

Reorder the terms:
-0.5 + 1.5x = 0.4(1 + 3x)
-0.5 + 1.5x = (1 * 0.4 + 3x * 0.4)
-0.5 + 1.5x = (0.4 + 1.2x)

Solving
-0.5 + 1.5x = 0.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.5 + 1.5x + -1.2x = 0.4 + 1.2x + -1.2x

Combine like terms: 1.5x + -1.2x = 0.3x
-0.5 + 0.3x = 0.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.5 + 0.3x = 0.4 + 0.0
-0.5 + 0.3x = 0.4

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.3x = 0.4 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.3x = 0.4 + 0.5
0.3x = 0.4 + 0.5

Combine like terms: 0.4 + 0.5 = 0.9
0.3x = 0.9

Divide each side by '0.3'.
x = 3

Simplifying
x = 3

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