-2(x-5)=6(-.5x)

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


Simplifying
-2(x + -5) = 6(-0.5x)

Reorder the terms:
-2(-5 + x) = 6(-0.5x)
(-5 * -2 + x * -2) = 6(-0.5x)
(10 + -2x) = 6(-0.5x)

Remove parenthesis around (-0.5x)
10 + -2x = 6 * -0.5x

Multiply 6 * -0.5
10 + -2x = -3x

Solving
10 + -2x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -2x + 3x = -3x + 3x

Combine like terms: -2x + 3x = 1x
10 + 1x = -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 1x = 0

Add '-10' to each side of the equation.
10 + -10 + 1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 0 + -10
1x = 0 + -10

Combine like terms: 0 + -10 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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