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

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


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

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

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

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

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

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

Combine like terms: 13 + -3 = 10
-2 + 5x = 10 + -1x

Solving
-2 + 5x = 10 + -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.
-2 + 5x + x = 10 + -1x + x

Combine like terms: 5x + x = 6x
-2 + 6x = 10 + -1x + x

Combine like terms: -1x + x = 0
-2 + 6x = 10 + 0
-2 + 6x = 10

Add '2' to each side of the equation.
-2 + 2 + 6x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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