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

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


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

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

Combine like terms: 6x + x = 7x
18 + 7x = 3(x + 3) + 4

Reorder the terms:
18 + 7x = 3(3 + x) + 4
18 + 7x = (3 * 3 + x * 3) + 4
18 + 7x = (9 + 3x) + 4

Reorder the terms:
18 + 7x = 9 + 4 + 3x

Combine like terms: 9 + 4 = 13
18 + 7x = 13 + 3x

Solving
18 + 7x = 13 + 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 + 7x + -3x = 13 + 3x + -3x

Combine like terms: 7x + -3x = 4x
18 + 4x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 4x = 13 + 0
18 + 4x = 13

Add '-18' to each side of the equation.
18 + -18 + 4x = 13 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 13 + -18
4x = 13 + -18

Combine like terms: 13 + -18 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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