2(5-x)=4(x-4)-10

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Solution for 2(5-x)=4(x-4)-10 equation: 


Simplifying
2(5 + -1x) = 4(x + -4) + -10
(5 * 2 + -1x * 2) = 4(x + -4) + -10
(10 + -2x) = 4(x + -4) + -10

Reorder the terms:
10 + -2x = 4(-4 + x) + -10
10 + -2x = (-4 * 4 + x * 4) + -10
10 + -2x = (-16 + 4x) + -10

Reorder the terms:
10 + -2x = -16 + -10 + 4x

Combine like terms: -16 + -10 = -26
10 + -2x = -26 + 4x

Solving
10 + -2x = -26 + 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.
10 + -2x + -4x = -26 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = -26 + 0
10 + -6x = -26

Add '-10' to each side of the equation.
10 + -10 + -6x = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -26 + -10
-6x = -26 + -10

Combine like terms: -26 + -10 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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