0.5(4x+1)=0.5(5x-1)+1.2

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Solution for 0.5(4x+1)=0.5(5x-1)+1.2 equation: 


Simplifying
0.5(4x + 1) = 0.5(5x + -1) + 1.2

Reorder the terms:
0.5(1 + 4x) = 0.5(5x + -1) + 1.2
(1 * 0.5 + 4x * 0.5) = 0.5(5x + -1) + 1.2
(0.5 + 2x) = 0.5(5x + -1) + 1.2

Reorder the terms:
0.5 + 2x = 0.5(-1 + 5x) + 1.2
0.5 + 2x = (-1 * 0.5 + 5x * 0.5) + 1.2
0.5 + 2x = (-0.5 + 2.5x) + 1.2

Reorder the terms:
0.5 + 2x = -0.5 + 1.2 + 2.5x

Combine like terms: -0.5 + 1.2 = 0.7
0.5 + 2x = 0.7 + 2.5x

Solving
0.5 + 2x = 0.7 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
0.5 + 2x + -2.5x = 0.7 + 2.5x + -2.5x

Combine like terms: 2x + -2.5x = -0.5x
0.5 + -0.5x = 0.7 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
0.5 + -0.5x = 0.7 + 0.0
0.5 + -0.5x = 0.7

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.5x = 0.7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5x = 0.7 + -0.5
-0.5x = 0.7 + -0.5

Combine like terms: 0.7 + -0.5 = 0.2
-0.5x = 0.2

Divide each side by '-0.5'.
x = -0.4

Simplifying
x = -0.4

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