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

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


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

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

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

Combine like terms: -2 + 5 = 3
3 + 6x = 13 + -1(x + -4)

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

Combine like terms: 13 + 4 = 17
3 + 6x = 17 + -1x

Solving
3 + 6x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 6x + x = 17 + -1x + x

Combine like terms: 6x + x = 7x
3 + 7x = 17 + -1x + x

Combine like terms: -1x + x = 0
3 + 7x = 17 + 0
3 + 7x = 17

Add '-3' to each side of the equation.
3 + -3 + 7x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 17 + -3
7x = 17 + -3

Combine like terms: 17 + -3 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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