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

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


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

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

Combine like terms: 5 + -8 = -3
-3 + 2x = 2[5 + -6(x + 2)]

Reorder the terms:
-3 + 2x = 2[5 + -6(2 + x)]
-3 + 2x = 2[5 + (2 * -6 + x * -6)]
-3 + 2x = 2[5 + (-12 + -6x)]

Combine like terms: 5 + -12 = -7
-3 + 2x = 2[-7 + -6x]
-3 + 2x = [-7 * 2 + -6x * 2]
-3 + 2x = [-14 + -12x]

Solving
-3 + 2x = -14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-3 + 2x + 12x = -14 + -12x + 12x

Combine like terms: 2x + 12x = 14x
-3 + 14x = -14 + -12x + 12x

Combine like terms: -12x + 12x = 0
-3 + 14x = -14 + 0
-3 + 14x = -14

Add '3' to each side of the equation.
-3 + 3 + 14x = -14 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = -14 + 3
14x = -14 + 3

Combine like terms: -14 + 3 = -11
14x = -11

Divide each side by '14'.
x = -0.7857142857

Simplifying
x = -0.7857142857

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