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

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

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

Remove parenthesis around (8x)
x + 3 * 8x + 3(5) = 3(4)(x + 2(3))

Multiply 3 * 8
x + 24x + 3(5) = 3(4)(x + 2(3))

Multiply 3 * 5
x + 24x + 15 = 3(4)(x + 2(3))

Reorder the terms:
15 + x + 24x = 3(4)(x + 2(3))

Combine like terms: x + 24x = 25x
15 + 25x = 3(4)(x + 2(3))

Multiply 2 * 3
15 + 25x = 3 * 4(x + 6)

Reorder the terms:
15 + 25x = 3 * 4(6 + x)

Multiply 3 * 4
15 + 25x = 12(6 + x)
15 + 25x = (6 * 12 + x * 12)
15 + 25x = (72 + 12x)

Solving
15 + 25x = 72 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 25x + -12x = 72 + 12x + -12x

Combine like terms: 25x + -12x = 13x
15 + 13x = 72 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + 13x = 72 + 0
15 + 13x = 72

Add '-15' to each side of the equation.
15 + -15 + 13x = 72 + -15

Combine like terms: 15 + -15 = 0
0 + 13x = 72 + -15
13x = 72 + -15

Combine like terms: 72 + -15 = 57
13x = 57

Divide each side by '13'.
x = 4.384615385

Simplifying
x = 4.384615385