5(x+3)+3(x+2)=10

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Solution for 5(x+3)+3(x+2)=10 equation: 


Simplifying
5(x + 3) + 3(x + 2) = 10

Reorder the terms:
5(3 + x) + 3(x + 2) = 10
(3 * 5 + x * 5) + 3(x + 2) = 10
(15 + 5x) + 3(x + 2) = 10

Reorder the terms:
15 + 5x + 3(2 + x) = 10
15 + 5x + (2 * 3 + x * 3) = 10
15 + 5x + (6 + 3x) = 10

Reorder the terms:
15 + 6 + 5x + 3x = 10

Combine like terms: 15 + 6 = 21
21 + 5x + 3x = 10

Combine like terms: 5x + 3x = 8x
21 + 8x = 10

Solving
21 + 8x = 10

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 8x = 10 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = 10 + -21
8x = 10 + -21

Combine like terms: 10 + -21 = -11
8x = -11

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375

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