5(x+3)+3(x+1)=14

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Solution for 5(x+3)+3(x+1)=14 equation:


Simplifying
5(x + 3) + 3(x + 1) = 14

Reorder the terms:
5(3 + x) + 3(x + 1) = 14
(3 * 5 + x * 5) + 3(x + 1) = 14
(15 + 5x) + 3(x + 1) = 14

Reorder the terms:
15 + 5x + 3(1 + x) = 14
15 + 5x + (1 * 3 + x * 3) = 14
15 + 5x + (3 + 3x) = 14

Reorder the terms:
15 + 3 + 5x + 3x = 14

Combine like terms: 15 + 3 = 18
18 + 5x + 3x = 14

Combine like terms: 5x + 3x = 8x
18 + 8x = 14

Solving
18 + 8x = 14

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 8x = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 14 + -18
8x = 14 + -18

Combine like terms: 14 + -18 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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