4(5-x)=2(x+8)-10

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Solution for 4(5-x)=2(x+8)-10 equation: 


Simplifying
4(5 + -1x) = 2(x + 8) + -10
(5 * 4 + -1x * 4) = 2(x + 8) + -10
(20 + -4x) = 2(x + 8) + -10

Reorder the terms:
20 + -4x = 2(8 + x) + -10
20 + -4x = (8 * 2 + x * 2) + -10
20 + -4x = (16 + 2x) + -10

Reorder the terms:
20 + -4x = 16 + -10 + 2x

Combine like terms: 16 + -10 = 6
20 + -4x = 6 + 2x

Solving
20 + -4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -4x + -2x = 6 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = 6 + 0
20 + -6x = 6

Add '-20' to each side of the equation.
20 + -20 + -6x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 6 + -20
-6x = 6 + -20

Combine like terms: 6 + -20 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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