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

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


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

Reorder the terms:
20 + 2x = 2(-5 + 4x)
20 + 2x = (-5 * 2 + 4x * 2)
20 + 2x = (-10 + 8x)

Solving
20 + 2x = -10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 2x + -8x = -10 + 8x + -8x

Combine like terms: 2x + -8x = -6x
20 + -6x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -6x = -10 + 0
20 + -6x = -10

Add '-20' to each side of the equation.
20 + -20 + -6x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -10 + -20
-6x = -10 + -20

Combine like terms: -10 + -20 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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