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

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


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

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

Reorder the terms:
2 + 13x = 4(1 + 3x) + -1x + 5
2 + 13x = (1 * 4 + 3x * 4) + -1x + 5
2 + 13x = (4 + 12x) + -1x + 5

Reorder the terms:
2 + 13x = 4 + 5 + 12x + -1x

Combine like terms: 4 + 5 = 9
2 + 13x = 9 + 12x + -1x

Combine like terms: 12x + -1x = 11x
2 + 13x = 9 + 11x

Solving
2 + 13x = 9 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
2 + 13x + -11x = 9 + 11x + -11x

Combine like terms: 13x + -11x = 2x
2 + 2x = 9 + 11x + -11x

Combine like terms: 11x + -11x = 0
2 + 2x = 9 + 0
2 + 2x = 9

Add '-2' to each side of the equation.
2 + -2 + 2x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 9 + -2
2x = 9 + -2

Combine like terms: 9 + -2 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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