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

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Solution for 0.5(-4x+1)=-3x+1 equation: 


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

Reorder the terms:
0.5(1 + -4x) = -3x + 1
(1 * 0.5 + -4x * 0.5) = -3x + 1
(0.5 + -2x) = -3x + 1

Reorder the terms:
0.5 + -2x = 1 + -3x

Solving
0.5 + -2x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
0.5 + -2x + 3x = 1 + -3x + 3x

Combine like terms: -2x + 3x = 1x
0.5 + 1x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
0.5 + 1x = 1 + 0
0.5 + 1x = 1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1x = 1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1x = 1 + -0.5
1x = 1 + -0.5

Combine like terms: 1 + -0.5 = 0.5
1x = 0.5

Divide each side by '1'.
x = 0.5

Simplifying
x = 0.5

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