6(x+10)+x=3(x+3)-5

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Solution for 6(x+10)+x=3(x+3)-5 equation: 


Simplifying
6(x + 10) + x = 3(x + 3) + -5

Reorder the terms:
6(10 + x) + x = 3(x + 3) + -5
(10 * 6 + x * 6) + x = 3(x + 3) + -5
(60 + 6x) + x = 3(x + 3) + -5

Combine like terms: 6x + x = 7x
60 + 7x = 3(x + 3) + -5

Reorder the terms:
60 + 7x = 3(3 + x) + -5
60 + 7x = (3 * 3 + x * 3) + -5
60 + 7x = (9 + 3x) + -5

Reorder the terms:
60 + 7x = 9 + -5 + 3x

Combine like terms: 9 + -5 = 4
60 + 7x = 4 + 3x

Solving
60 + 7x = 4 + 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.
60 + 7x + -3x = 4 + 3x + -3x

Combine like terms: 7x + -3x = 4x
60 + 4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 4x = 4 + 0
60 + 4x = 4

Add '-60' to each side of the equation.
60 + -60 + 4x = 4 + -60

Combine like terms: 60 + -60 = 0
0 + 4x = 4 + -60
4x = 4 + -60

Combine like terms: 4 + -60 = -56
4x = -56

Divide each side by '4'.
x = -14

Simplifying
x = -14

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