5(x+1)+6(x+2)=(x+3)

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Solution for 5(x+1)+6(x+2)=(x+3) equation:


Simplifying
5(x + 1) + 6(x + 2) = (x + 3)

Reorder the terms:
5(1 + x) + 6(x + 2) = (x + 3)
(1 * 5 + x * 5) + 6(x + 2) = (x + 3)
(5 + 5x) + 6(x + 2) = (x + 3)

Reorder the terms:
5 + 5x + 6(2 + x) = (x + 3)
5 + 5x + (2 * 6 + x * 6) = (x + 3)
5 + 5x + (12 + 6x) = (x + 3)

Reorder the terms:
5 + 12 + 5x + 6x = (x + 3)

Combine like terms: 5 + 12 = 17
17 + 5x + 6x = (x + 3)

Combine like terms: 5x + 6x = 11x
17 + 11x = (x + 3)

Reorder the terms:
17 + 11x = (3 + x)

Remove parenthesis around (3 + x)
17 + 11x = 3 + x

Solving
17 + 11x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + 11x + -1x = 3 + x + -1x

Combine like terms: 11x + -1x = 10x
17 + 10x = 3 + x + -1x

Combine like terms: x + -1x = 0
17 + 10x = 3 + 0
17 + 10x = 3

Add '-17' to each side of the equation.
17 + -17 + 10x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + 10x = 3 + -17
10x = 3 + -17

Combine like terms: 3 + -17 = -14
10x = -14

Divide each side by '10'.
x = -1.4

Simplifying
x = -1.4

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