(6x+5)+(4x-2)=8x+21

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Solution for (6x+5)+(4x-2)=8x+21 equation:


Simplifying
(6x + 5) + (4x + -2) = 8x + 21

Reorder the terms:
(5 + 6x) + (4x + -2) = 8x + 21

Remove parenthesis around (5 + 6x)
5 + 6x + (4x + -2) = 8x + 21

Reorder the terms:
5 + 6x + (-2 + 4x) = 8x + 21

Remove parenthesis around (-2 + 4x)
5 + 6x + -2 + 4x = 8x + 21

Reorder the terms:
5 + -2 + 6x + 4x = 8x + 21

Combine like terms: 5 + -2 = 3
3 + 6x + 4x = 8x + 21

Combine like terms: 6x + 4x = 10x
3 + 10x = 8x + 21

Reorder the terms:
3 + 10x = 21 + 8x

Solving
3 + 10x = 21 + 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.
3 + 10x + -8x = 21 + 8x + -8x

Combine like terms: 10x + -8x = 2x
3 + 2x = 21 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 2x = 21 + 0
3 + 2x = 21

Add '-3' to each side of the equation.
3 + -3 + 2x = 21 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 21 + -3
2x = 21 + -3

Combine like terms: 21 + -3 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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