2(x+1)+5(x+3)=x+53

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Solution for 2(x+1)+5(x+3)=x+53 equation:


Simplifying
2(x + 1) + 5(x + 3) = x + 53

Reorder the terms:
2(1 + x) + 5(x + 3) = x + 53
(1 * 2 + x * 2) + 5(x + 3) = x + 53
(2 + 2x) + 5(x + 3) = x + 53

Reorder the terms:
2 + 2x + 5(3 + x) = x + 53
2 + 2x + (3 * 5 + x * 5) = x + 53
2 + 2x + (15 + 5x) = x + 53

Reorder the terms:
2 + 15 + 2x + 5x = x + 53

Combine like terms: 2 + 15 = 17
17 + 2x + 5x = x + 53

Combine like terms: 2x + 5x = 7x
17 + 7x = x + 53

Reorder the terms:
17 + 7x = 53 + x

Solving
17 + 7x = 53 + 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 + 7x + -1x = 53 + x + -1x

Combine like terms: 7x + -1x = 6x
17 + 6x = 53 + x + -1x

Combine like terms: x + -1x = 0
17 + 6x = 53 + 0
17 + 6x = 53

Add '-17' to each side of the equation.
17 + -17 + 6x = 53 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = 53 + -17
6x = 53 + -17

Combine like terms: 53 + -17 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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