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

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

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

Reorder the terms:
2(3 + 4x) = 5(3x + 4)
(3 * 2 + 4x * 2) = 5(3x + 4)
(6 + 8x) = 5(3x + 4)

Reorder the terms:
6 + 8x = 5(4 + 3x)
6 + 8x = (4 * 5 + 3x * 5)
6 + 8x = (20 + 15x)

Solving
6 + 8x = 20 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 8x + -15x = 20 + 15x + -15x

Combine like terms: 8x + -15x = -7x
6 + -7x = 20 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -7x = 20 + 0
6 + -7x = 20

Add '-6' to each side of the equation.
6 + -6 + -7x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 20 + -6
-7x = 20 + -6

Combine like terms: 20 + -6 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2