4(x+.5)=2(x-1.5)

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Solution for 4(x+.5)=2(x-1.5) equation: 


Simplifying
4(x + 0.5) = 2(x + -1.5)

Reorder the terms:
4(0.5 + x) = 2(x + -1.5)
(0.5 * 4 + x * 4) = 2(x + -1.5)
(2 + 4x) = 2(x + -1.5)

Reorder the terms:
2 + 4x = 2(-1.5 + x)
2 + 4x = (-1.5 * 2 + x * 2)
2 + 4x = (-3 + 2x)

Solving
2 + 4x = -3 + 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.
2 + 4x + -2x = -3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
2 + 2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 2x = -3 + 0
2 + 2x = -3

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

Combine like terms: 2 + -2 = 0
0 + 2x = -3 + -2
2x = -3 + -2

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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