2x+23-(5x-[6(x-4)-5])=5(x-2)

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Solution for 2x+23-(5x-[6(x-4)-5])=5(x-2) equation:


Simplifying
2x + 23 + -1(5x + -1[6(x + -4) + -5]) = 5(x + -2)

Reorder the terms:
2x + 23 + -1(5x + -1[6(-4 + x) + -5]) = 5(x + -2)
2x + 23 + -1(5x + -1[(-4 * 6 + x * 6) + -5]) = 5(x + -2)
2x + 23 + -1(5x + -1[(-24 + 6x) + -5]) = 5(x + -2)

Reorder the terms:
2x + 23 + -1(5x + -1[-24 + -5 + 6x]) = 5(x + -2)

Combine like terms: -24 + -5 = -29
2x + 23 + -1(5x + -1[-29 + 6x]) = 5(x + -2)
2x + 23 + -1(5x + [-29 * -1 + 6x * -1]) = 5(x + -2)
2x + 23 + -1(5x + [29 + -6x]) = 5(x + -2)

Reorder the terms:
2x + 23 + -1(29 + 5x + -6x) = 5(x + -2)

Combine like terms: 5x + -6x = -1x
2x + 23 + -1(29 + -1x) = 5(x + -2)
2x + 23 + (29 * -1 + -1x * -1) = 5(x + -2)
2x + 23 + (-29 + 1x) = 5(x + -2)

Reorder the terms:
23 + -29 + 2x + 1x = 5(x + -2)

Combine like terms: 23 + -29 = -6
-6 + 2x + 1x = 5(x + -2)

Combine like terms: 2x + 1x = 3x
-6 + 3x = 5(x + -2)

Reorder the terms:
-6 + 3x = 5(-2 + x)
-6 + 3x = (-2 * 5 + x * 5)
-6 + 3x = (-10 + 5x)

Solving
-6 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -10 + 0
-6 + -2x = -10

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

Combine like terms: -6 + 6 = 0
0 + -2x = -10 + 6
-2x = -10 + 6

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

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

Simplifying
x = 2

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