2(x-5)=2[4-3(x+2)]

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Solution for 2(x-5)=2[4-3(x+2)] equation: 


Simplifying
2(x + -5) = 2[4 + -3(x + 2)]

Reorder the terms:
2(-5 + x) = 2[4 + -3(x + 2)]
(-5 * 2 + x * 2) = 2[4 + -3(x + 2)]
(-10 + 2x) = 2[4 + -3(x + 2)]

Reorder the terms:
-10 + 2x = 2[4 + -3(2 + x)]
-10 + 2x = 2[4 + (2 * -3 + x * -3)]
-10 + 2x = 2[4 + (-6 + -3x)]

Combine like terms: 4 + -6 = -2
-10 + 2x = 2[-2 + -3x]
-10 + 2x = [-2 * 2 + -3x * 2]
-10 + 2x = [-4 + -6x]

Solving
-10 + 2x = -4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + 2x + 6x = -4 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-10 + 8x = -4 + 0
-10 + 8x = -4

Add '10' to each side of the equation.
-10 + 10 + 8x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = -4 + 10
8x = -4 + 10

Combine like terms: -4 + 10 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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