-2(x+5)+6=4(x+2)

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Solution for -2(x+5)+6=4(x+2) equation:


Simplifying
-2(x + 5) + 6 = 4(x + 2)

Reorder the terms:
-2(5 + x) + 6 = 4(x + 2)
(5 * -2 + x * -2) + 6 = 4(x + 2)
(-10 + -2x) + 6 = 4(x + 2)

Reorder the terms:
-10 + 6 + -2x = 4(x + 2)

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

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

Solving
-4 + -2x = 8 + 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.
-4 + -2x + -4x = 8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-4 + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -6x = 8 + 0
-4 + -6x = 8

Add '4' to each side of the equation.
-4 + 4 + -6x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 8 + 4
-6x = 8 + 4

Combine like terms: 8 + 4 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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