3X-13+8X=6(6X-4)+6

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Solution for 3X-13+8X=6(6X-4)+6 equation: 


Simplifying
3X + -13 + 8X = 6(6X + -4) + 6

Reorder the terms:
-13 + 3X + 8X = 6(6X + -4) + 6

Combine like terms: 3X + 8X = 11X
-13 + 11X = 6(6X + -4) + 6

Reorder the terms:
-13 + 11X = 6(-4 + 6X) + 6
-13 + 11X = (-4 * 6 + 6X * 6) + 6
-13 + 11X = (-24 + 36X) + 6

Reorder the terms:
-13 + 11X = -24 + 6 + 36X

Combine like terms: -24 + 6 = -18
-13 + 11X = -18 + 36X

Solving
-13 + 11X = -18 + 36X

Solving for variable 'X'.

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

Add '-36X' to each side of the equation.
-13 + 11X + -36X = -18 + 36X + -36X

Combine like terms: 11X + -36X = -25X
-13 + -25X = -18 + 36X + -36X

Combine like terms: 36X + -36X = 0
-13 + -25X = -18 + 0
-13 + -25X = -18

Add '13' to each side of the equation.
-13 + 13 + -25X = -18 + 13

Combine like terms: -13 + 13 = 0
0 + -25X = -18 + 13
-25X = -18 + 13

Combine like terms: -18 + 13 = -5
-25X = -5

Divide each side by '-25'.
X = 0.2

Simplifying
X = 0.2

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