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

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


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

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

Reorder the terms:
2 + 2x = 3(0.5 + 0.5x)
2 + 2x = (0.5 * 3 + 0.5x * 3)
2 + 2x = (1.5 + 1.5x)

Solving
2 + 2x = 1.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
2 + 2x + -1.5x = 1.5 + 1.5x + -1.5x

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

Combine like terms: 1.5x + -1.5x = 0.0
2 + 0.5x = 1.5 + 0.0
2 + 0.5x = 1.5

Add '-2' to each side of the equation.
2 + -2 + 0.5x = 1.5 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5x = 1.5 + -2
0.5x = 1.5 + -2

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

Divide each side by '0.5'.
x = -1

Simplifying
x = -1

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