6(x+3)=(3x+4)+10

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Solution for 6(x+3)=(3x+4)+10 equation:


Simplifying
6(x + 3) = (3x + 4) + 10

Reorder the terms:
6(3 + x) = (3x + 4) + 10
(3 * 6 + x * 6) = (3x + 4) + 10
(18 + 6x) = (3x + 4) + 10

Reorder the terms:
18 + 6x = (4 + 3x) + 10

Remove parenthesis around (4 + 3x)
18 + 6x = 4 + 3x + 10

Reorder the terms:
18 + 6x = 4 + 10 + 3x

Combine like terms: 4 + 10 = 14
18 + 6x = 14 + 3x

Solving
18 + 6x = 14 + 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.
18 + 6x + -3x = 14 + 3x + -3x

Combine like terms: 6x + -3x = 3x
18 + 3x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 3x = 14 + 0
18 + 3x = 14

Add '-18' to each side of the equation.
18 + -18 + 3x = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 14 + -18
3x = 14 + -18

Combine like terms: 14 + -18 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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