5(x+3)+2(x+8)=3(x+4)

Solution for 5(x+3)+2(x+8)=3(x+4) equation:

Simplifying
5(x + 3) + 2(x + 8) = 3(x + 4)

Reorder the terms:
5(3 + x) + 2(x + 8) = 3(x + 4)
(3 * 5 + x * 5) + 2(x + 8) = 3(x + 4)
(15 + 5x) + 2(x + 8) = 3(x + 4)

Reorder the terms:
15 + 5x + 2(8 + x) = 3(x + 4)
15 + 5x + (8 * 2 + x * 2) = 3(x + 4)
15 + 5x + (16 + 2x) = 3(x + 4)

Reorder the terms:
15 + 16 + 5x + 2x = 3(x + 4)

Combine like terms: 15 + 16 = 31
31 + 5x + 2x = 3(x + 4)

Combine like terms: 5x + 2x = 7x
31 + 7x = 3(x + 4)

Reorder the terms:
31 + 7x = 3(4 + x)
31 + 7x = (4 * 3 + x * 3)
31 + 7x = (12 + 3x)

Solving
31 + 7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
31 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
31 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 + 4x = 12 + 0
31 + 4x = 12

Add '-31' to each side of the equation.
31 + -31 + 4x = 12 + -31

Combine like terms: 31 + -31 = 0
0 + 4x = 12 + -31
4x = 12 + -31

Combine like terms: 12 + -31 = -19
4x = -19

Divide each side by '4'.
x = -4.75

Simplifying
x = -4.75