.5(2-6)-4x-6=-(x-3)+4

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Solution for .5(2-6)-4x-6=-(x-3)+4 equation: 


Simplifying
0.5(2 + -6) + -4x + -6 = -1(x + -3) + 4

Combine like terms: 2 + -6 = -4
0.5(-4) + -4x + -6 = -1(x + -3) + 4

Multiply 0.5 * -4
-2 + -4x + -6 = -1(x + -3) + 4

Reorder the terms:
-2 + -6 + -4x = -1(x + -3) + 4

Combine like terms: -2 + -6 = -8
-8 + -4x = -1(x + -3) + 4

Reorder the terms:
-8 + -4x = -1(-3 + x) + 4
-8 + -4x = (-3 * -1 + x * -1) + 4
-8 + -4x = (3 + -1x) + 4

Reorder the terms:
-8 + -4x = 3 + 4 + -1x

Combine like terms: 3 + 4 = 7
-8 + -4x = 7 + -1x

Solving
-8 + -4x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + -4x + x = 7 + -1x + x

Combine like terms: -4x + x = -3x
-8 + -3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-8 + -3x = 7 + 0
-8 + -3x = 7

Add '8' to each side of the equation.
-8 + 8 + -3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 7 + 8
-3x = 7 + 8

Combine like terms: 7 + 8 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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