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

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Solution for 5(2x-1)+3(x-3)=-4(x-6)+2(13-3X) equation: 


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

Reorder the terms:
5(-1 + 2x) + 3(x + -3) = -4(x + -6) + 2(13 + -3X)
(-1 * 5 + 2x * 5) + 3(x + -3) = -4(x + -6) + 2(13 + -3X)
(-5 + 10x) + 3(x + -3) = -4(x + -6) + 2(13 + -3X)

Reorder the terms:
-5 + 10x + 3(-3 + x) = -4(x + -6) + 2(13 + -3X)
-5 + 10x + (-3 * 3 + x * 3) = -4(x + -6) + 2(13 + -3X)
-5 + 10x + (-9 + 3x) = -4(x + -6) + 2(13 + -3X)

Reorder the terms:
-5 + -9 + 10x + 3x = -4(x + -6) + 2(13 + -3X)

Combine like terms: -5 + -9 = -14
-14 + 10x + 3x = -4(x + -6) + 2(13 + -3X)

Combine like terms: 10x + 3x = 13x
-14 + 13x = -4(x + -6) + 2(13 + -3X)

Reorder the terms:
-14 + 13x = -4(-6 + x) + 2(13 + -3X)
-14 + 13x = (-6 * -4 + x * -4) + 2(13 + -3X)
-14 + 13x = (24 + -4x) + 2(13 + -3X)
-14 + 13x = 24 + -4x + (13 * 2 + -3X * 2)
-14 + 13x = 24 + -4x + (26 + -6X)

Reorder the terms:
-14 + 13x = 24 + 26 + -6X + -4x

Combine like terms: 24 + 26 = 50
-14 + 13x = 50 + -6X + -4x

Solving
-14 + 13x = 50 + -6X + -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.
-14 + 13x + 4x = 50 + -6X + -4x + 4x

Combine like terms: 13x + 4x = 17x
-14 + 17x = 50 + -6X + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 17x = 50 + -6X + 0
-14 + 17x = 50 + -6X

Add '14' to each side of the equation.
-14 + 14 + 17x = 50 + 14 + -6X

Combine like terms: -14 + 14 = 0
0 + 17x = 50 + 14 + -6X
17x = 50 + 14 + -6X

Combine like terms: 50 + 14 = 64
17x = 64 + -6X

Divide each side by '17'.
x = 3.764705882 + -0.3529411765X

Simplifying
x = 3.764705882 + -0.3529411765X

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