4x+13-(2x-(4(x-3)-5))=2(x-6)

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Solution for 4x+13-(2x-(4(x-3)-5))=2(x-6) equation: 


Simplifying
4x + 13 + -1(2x + -1(4(x + -3) + -5)) = 2(x + -6)

Reorder the terms:
4x + 13 + -1(2x + -1(4(-3 + x) + -5)) = 2(x + -6)
4x + 13 + -1(2x + -1((-3 * 4 + x * 4) + -5)) = 2(x + -6)
4x + 13 + -1(2x + -1((-12 + 4x) + -5)) = 2(x + -6)

Reorder the terms:
4x + 13 + -1(2x + -1(-12 + -5 + 4x)) = 2(x + -6)

Combine like terms: -12 + -5 = -17
4x + 13 + -1(2x + -1(-17 + 4x)) = 2(x + -6)
4x + 13 + -1(2x + (-17 * -1 + 4x * -1)) = 2(x + -6)
4x + 13 + -1(2x + (17 + -4x)) = 2(x + -6)

Reorder the terms:
4x + 13 + -1(17 + 2x + -4x) = 2(x + -6)

Combine like terms: 2x + -4x = -2x
4x + 13 + -1(17 + -2x) = 2(x + -6)
4x + 13 + (17 * -1 + -2x * -1) = 2(x + -6)
4x + 13 + (-17 + 2x) = 2(x + -6)

Reorder the terms:
13 + -17 + 4x + 2x = 2(x + -6)

Combine like terms: 13 + -17 = -4
-4 + 4x + 2x = 2(x + -6)

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

Reorder the terms:
-4 + 6x = 2(-6 + x)
-4 + 6x = (-6 * 2 + x * 2)
-4 + 6x = (-12 + 2x)

Solving
-4 + 6x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 6x + -2x = -12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-4 + 4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 4x = -12 + 0
-4 + 4x = -12

Add '4' to each side of the equation.
-4 + 4 + 4x = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -12 + 4
4x = -12 + 4

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

Divide each side by '4'.
x = -2

Simplifying
x = -2

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