0.5(x-1)=0.5(-4x+8)

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Solution for 0.5(x-1)=0.5(-4x+8) equation:


Simplifying
0.5(x + -1) = 0.5(-4x + 8)

Reorder the terms:
0.5(-1 + x) = 0.5(-4x + 8)
(-1 * 0.5 + x * 0.5) = 0.5(-4x + 8)
(-0.5 + 0.5x) = 0.5(-4x + 8)

Reorder the terms:
-0.5 + 0.5x = 0.5(8 + -4x)
-0.5 + 0.5x = (8 * 0.5 + -4x * 0.5)
-0.5 + 0.5x = (4 + -2x)

Solving
-0.5 + 0.5x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.5 + 0.5x + 2x = 4 + -2x + 2x

Combine like terms: 0.5x + 2x = 2.5x
-0.5 + 2.5x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.5 + 2.5x = 4 + 0
-0.5 + 2.5x = 4

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 2.5x = 4 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 2.5x = 4 + 0.5
2.5x = 4 + 0.5

Combine like terms: 4 + 0.5 = 4.5
2.5x = 4.5

Divide each side by '2.5'.
x = 1.8

Simplifying
x = 1.8

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