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

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


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

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

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

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

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

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

Combine like terms: 5x + 3x = 8x
2 + 13x = 3 + 8x

Solving
2 + 13x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 13x + -8x = 3 + 8x + -8x

Combine like terms: 13x + -8x = 5x
2 + 5x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 5x = 3 + 0
2 + 5x = 3

Add '-2' to each side of the equation.
2 + -2 + 5x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 3 + -2
5x = 3 + -2

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

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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