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

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


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

Reorder the terms:
-6 + 2(-5 + 4x) = 4(x + 2)
-6 + (-5 * 2 + 4x * 2) = 4(x + 2)
-6 + (-10 + 8x) = 4(x + 2)

Combine like terms: -6 + -10 = -16
-16 + 8x = 4(x + 2)

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

Solving
-16 + 8x = 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.
-16 + 8x + -4x = 8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-16 + 4x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 4x = 8 + 0
-16 + 4x = 8

Add '16' to each side of the equation.
-16 + 16 + 4x = 8 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 8 + 16
4x = 8 + 16

Combine like terms: 8 + 16 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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