2(x-0.5)=4(x+.25)

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Solution for 2(x-0.5)=4(x+.25) equation: 


Simplifying
2(x + -0.5) = 4(x + 0.25)

Reorder the terms:
2(-0.5 + x) = 4(x + 0.25)
(-0.5 * 2 + x * 2) = 4(x + 0.25)
(-1 + 2x) = 4(x + 0.25)

Reorder the terms:
-1 + 2x = 4(0.25 + x)
-1 + 2x = (0.25 * 4 + x * 4)
-1 + 2x = (1 + 4x)

Solving
-1 + 2x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = 1 + 0
-1 + -2x = 1

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

Combine like terms: -1 + 1 = 0
0 + -2x = 1 + 1
-2x = 1 + 1

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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