2((3x-1)+2x)=10+(x+4)+(4x-1)

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Solution for 2((3x-1)+2x)=10+(x+4)+(4x-1) equation:


Simplifying
2((3x + -1) + 2x) = 10 + (x + 4) + (4x + -1)

Reorder the terms:
2((-1 + 3x) + 2x) = 10 + (x + 4) + (4x + -1)

Remove parenthesis around (-1 + 3x)
2(-1 + 3x + 2x) = 10 + (x + 4) + (4x + -1)

Combine like terms: 3x + 2x = 5x
2(-1 + 5x) = 10 + (x + 4) + (4x + -1)
(-1 * 2 + 5x * 2) = 10 + (x + 4) + (4x + -1)
(-2 + 10x) = 10 + (x + 4) + (4x + -1)

Reorder the terms:
-2 + 10x = 10 + (4 + x) + (4x + -1)

Remove parenthesis around (4 + x)
-2 + 10x = 10 + 4 + x + (4x + -1)

Reorder the terms:
-2 + 10x = 10 + 4 + x + (-1 + 4x)

Remove parenthesis around (-1 + 4x)
-2 + 10x = 10 + 4 + x + -1 + 4x

Reorder the terms:
-2 + 10x = 10 + 4 + -1 + x + 4x

Combine like terms: 10 + 4 = 14
-2 + 10x = 14 + -1 + x + 4x

Combine like terms: 14 + -1 = 13
-2 + 10x = 13 + x + 4x

Combine like terms: x + 4x = 5x
-2 + 10x = 13 + 5x

Solving
-2 + 10x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 10x + -5x = 13 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2 + 5x = 13 + 0
-2 + 5x = 13

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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