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

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


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

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

Combine like terms: 7x + x = 8x
42 + 8x = 3(x + 2) + -5

Reorder the terms:
42 + 8x = 3(2 + x) + -5
42 + 8x = (2 * 3 + x * 3) + -5
42 + 8x = (6 + 3x) + -5

Reorder the terms:
42 + 8x = 6 + -5 + 3x

Combine like terms: 6 + -5 = 1
42 + 8x = 1 + 3x

Solving
42 + 8x = 1 + 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 + 8x + -3x = 1 + 3x + -3x

Combine like terms: 8x + -3x = 5x
42 + 5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + 5x = 1 + 0
42 + 5x = 1

Add '-42' to each side of the equation.
42 + -42 + 5x = 1 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 1 + -42
5x = 1 + -42

Combine like terms: 1 + -42 = -41
5x = -41

Divide each side by '5'.
x = -8.2

Simplifying
x = -8.2

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