2x+3(x-1)=6(x-3)+13

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


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

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

Reorder the terms:
-3 + 2x + 3x = 6(x + -3) + 13

Combine like terms: 2x + 3x = 5x
-3 + 5x = 6(x + -3) + 13

Reorder the terms:
-3 + 5x = 6(-3 + x) + 13
-3 + 5x = (-3 * 6 + x * 6) + 13
-3 + 5x = (-18 + 6x) + 13

Reorder the terms:
-3 + 5x = -18 + 13 + 6x

Combine like terms: -18 + 13 = -5
-3 + 5x = -5 + 6x

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

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-3 + -1x = -5 + 0
-3 + -1x = -5

Add '3' to each side of the equation.
-3 + 3 + -1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -5 + 3
-1x = -5 + 3

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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