(x+1)7+(x+2)3=5

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Solution for (x+1)7+(x+2)3=5 equation:


Simplifying
(x + 1) * 7 + (x + 2) * 3 = 5

Reorder the terms:
(1 + x) * 7 + (x + 2) * 3 = 5

Reorder the terms for easier multiplication:
7(1 + x) + (x + 2) * 3 = 5
(1 * 7 + x * 7) + (x + 2) * 3 = 5
(7 + 7x) + (x + 2) * 3 = 5

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

Reorder the terms for easier multiplication:
7 + 7x + 3(2 + x) = 5
7 + 7x + (2 * 3 + x * 3) = 5
7 + 7x + (6 + 3x) = 5

Reorder the terms:
7 + 6 + 7x + 3x = 5

Combine like terms: 7 + 6 = 13
13 + 7x + 3x = 5

Combine like terms: 7x + 3x = 10x
13 + 10x = 5

Solving
13 + 10x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + 10x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 10x = 5 + -13
10x = 5 + -13

Combine like terms: 5 + -13 = -8
10x = -8

Divide each side by '10'.
x = -0.8

Simplifying
x = -0.8

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