5+2x=6(x+3)-5(x-1)

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


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

Reorder the terms:
5 + 2x = 6(3 + x) + -5(x + -1)
5 + 2x = (3 * 6 + x * 6) + -5(x + -1)
5 + 2x = (18 + 6x) + -5(x + -1)

Reorder the terms:
5 + 2x = 18 + 6x + -5(-1 + x)
5 + 2x = 18 + 6x + (-1 * -5 + x * -5)
5 + 2x = 18 + 6x + (5 + -5x)

Reorder the terms:
5 + 2x = 18 + 5 + 6x + -5x

Combine like terms: 18 + 5 = 23
5 + 2x = 23 + 6x + -5x

Combine like terms: 6x + -5x = 1x
5 + 2x = 23 + 1x

Solving
5 + 2x = 23 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 2x + -1x = 23 + 1x + -1x

Combine like terms: 2x + -1x = 1x
5 + 1x = 23 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 1x = 23 + 0
5 + 1x = 23

Add '-5' to each side of the equation.
5 + -5 + 1x = 23 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 23 + -5
1x = 23 + -5

Combine like terms: 23 + -5 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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