1-0.5(-x+5)=2+3(1-x)

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Solution for 1-0.5(-x+5)=2+3(1-x) equation: 


Simplifying
1 + -0.5(-1x + 5) = 2 + 3(1 + -1x)

Reorder the terms:
1 + -0.5(5 + -1x) = 2 + 3(1 + -1x)
1 + (5 * -0.5 + -1x * -0.5) = 2 + 3(1 + -1x)
1 + (-2.5 + 0.5x) = 2 + 3(1 + -1x)

Combine like terms: 1 + -2.5 = -1.5
-1.5 + 0.5x = 2 + 3(1 + -1x)
-1.5 + 0.5x = 2 + (1 * 3 + -1x * 3)
-1.5 + 0.5x = 2 + (3 + -3x)

Combine like terms: 2 + 3 = 5
-1.5 + 0.5x = 5 + -3x

Solving
-1.5 + 0.5x = 5 + -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.
-1.5 + 0.5x + 3x = 5 + -3x + 3x

Combine like terms: 0.5x + 3x = 3.5x
-1.5 + 3.5x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1.5 + 3.5x = 5 + 0
-1.5 + 3.5x = 5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 3.5x = 5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 3.5x = 5 + 1.5
3.5x = 5 + 1.5

Combine like terms: 5 + 1.5 = 6.5
3.5x = 6.5

Divide each side by '3.5'.
x = 1.857142857

Simplifying
x = 1.857142857

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