-2(x-5)=4(x+1)

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Solution for -2(x-5)=4(x+1) equation: 


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

Reorder the terms:
-2(-5 + x) = 4(x + 1)
(-5 * -2 + x * -2) = 4(x + 1)
(10 + -2x) = 4(x + 1)

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

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

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

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

Add '-10' to each side of the equation.
10 + -10 + -6x = 4 + -10

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

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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