6(x-3)+8=2x+(11+x)

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Solution for 6(x-3)+8=2x+(11+x) equation:


Simplifying
6(x + -3) + 8 = 2x + (11 + x)

Reorder the terms:
6(-3 + x) + 8 = 2x + (11 + x)
(-3 * 6 + x * 6) + 8 = 2x + (11 + x)
(-18 + 6x) + 8 = 2x + (11 + x)

Reorder the terms:
-18 + 8 + 6x = 2x + (11 + x)

Combine like terms: -18 + 8 = -10
-10 + 6x = 2x + (11 + x)

Remove parenthesis around (11 + x)
-10 + 6x = 2x + 11 + x

Reorder the terms:
-10 + 6x = 11 + 2x + x

Combine like terms: 2x + x = 3x
-10 + 6x = 11 + 3x

Solving
-10 + 6x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 6x + -3x = 11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-10 + 3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 3x = 11 + 0
-10 + 3x = 11

Add '10' to each side of the equation.
-10 + 10 + 3x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 11 + 10
3x = 11 + 10

Combine like terms: 11 + 10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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