2+4(x-1)=(2x+1)-0.5(10-6x)

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Solution for 2+4(x-1)=(2x+1)-0.5(10-6x) equation:


Simplifying
2 + 4(x + -1) = (2x + 1) + -0.5(10 + -6x)

Reorder the terms:
2 + 4(-1 + x) = (2x + 1) + -0.5(10 + -6x)
2 + (-1 * 4 + x * 4) = (2x + 1) + -0.5(10 + -6x)
2 + (-4 + 4x) = (2x + 1) + -0.5(10 + -6x)

Combine like terms: 2 + -4 = -2
-2 + 4x = (2x + 1) + -0.5(10 + -6x)

Reorder the terms:
-2 + 4x = (1 + 2x) + -0.5(10 + -6x)

Remove parenthesis around (1 + 2x)
-2 + 4x = 1 + 2x + -0.5(10 + -6x)
-2 + 4x = 1 + 2x + (10 * -0.5 + -6x * -0.5)
-2 + 4x = 1 + 2x + (-5 + 3x)

Reorder the terms:
-2 + 4x = 1 + -5 + 2x + 3x

Combine like terms: 1 + -5 = -4
-2 + 4x = -4 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 4x = -4 + 5x

Solving
-2 + 4x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 4x + -5x = -4 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = -4 + 0
-2 + -1x = -4

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

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

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

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

Simplifying
x = 2

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