6(x+7)+x=3(x+5)-2

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Solution for 6(x+7)+x=3(x+5)-2 equation: 


Simplifying
6(x + 7) + x = 3(x + 5) + -2

Reorder the terms:
6(7 + x) + x = 3(x + 5) + -2
(7 * 6 + x * 6) + x = 3(x + 5) + -2
(42 + 6x) + x = 3(x + 5) + -2

Combine like terms: 6x + x = 7x
42 + 7x = 3(x + 5) + -2

Reorder the terms:
42 + 7x = 3(5 + x) + -2
42 + 7x = (5 * 3 + x * 3) + -2
42 + 7x = (15 + 3x) + -2

Reorder the terms:
42 + 7x = 15 + -2 + 3x

Combine like terms: 15 + -2 = 13
42 + 7x = 13 + 3x

Solving
42 + 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.
42 + 7x + -3x = 13 + 3x + -3x

Combine like terms: 7x + -3x = 4x
42 + 4x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + 4x = 13 + 0
42 + 4x = 13

Add '-42' to each side of the equation.
42 + -42 + 4x = 13 + -42

Combine like terms: 42 + -42 = 0
0 + 4x = 13 + -42
4x = 13 + -42

Combine like terms: 13 + -42 = -29
4x = -29

Divide each side by '4'.
x = -7.25

Simplifying
x = -7.25

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