(2x+4)+(x+1)=6x-19

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Solution for (2x+4)+(x+1)=6x-19 equation:


Simplifying
(2x + 4) + (x + 1) = 6x + -19

Reorder the terms:
(4 + 2x) + (x + 1) = 6x + -19

Remove parenthesis around (4 + 2x)
4 + 2x + (x + 1) = 6x + -19

Reorder the terms:
4 + 2x + (1 + x) = 6x + -19

Remove parenthesis around (1 + x)
4 + 2x + 1 + x = 6x + -19

Reorder the terms:
4 + 1 + 2x + x = 6x + -19

Combine like terms: 4 + 1 = 5
5 + 2x + x = 6x + -19

Combine like terms: 2x + x = 3x
5 + 3x = 6x + -19

Reorder the terms:
5 + 3x = -19 + 6x

Solving
5 + 3x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 3x + -6x = -19 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -19 + 0
5 + -3x = -19

Add '-5' to each side of the equation.
5 + -5 + -3x = -19 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -19 + -5
-3x = -19 + -5

Combine like terms: -19 + -5 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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