2(x-4)=-1(x-10)

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


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

Reorder the terms:
2(-4 + x) = -1(x + -10)
(-4 * 2 + x * 2) = -1(x + -10)
(-8 + 2x) = -1(x + -10)

Reorder the terms:
-8 + 2x = -1(-10 + x)
-8 + 2x = (-10 * -1 + x * -1)
-8 + 2x = (10 + -1x)

Solving
-8 + 2x = 10 + -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 + 2x + x = 10 + -1x + x

Combine like terms: 2x + x = 3x
-8 + 3x = 10 + -1x + x

Combine like terms: -1x + x = 0
-8 + 3x = 10 + 0
-8 + 3x = 10

Add '8' to each side of the equation.
-8 + 8 + 3x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 10 + 8
3x = 10 + 8

Combine like terms: 10 + 8 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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