2(4x-5)+3(x+2)=51

Solution for 2(4x-5)+3(x+2)=51 equation:

Simplifying
2(4x + -5) + 3(x + 2) = 51

Reorder the terms:
2(-5 + 4x) + 3(x + 2) = 51
(-5 * 2 + 4x * 2) + 3(x + 2) = 51
(-10 + 8x) + 3(x + 2) = 51

Reorder the terms:
-10 + 8x + 3(2 + x) = 51
-10 + 8x + (2 * 3 + x * 3) = 51
-10 + 8x + (6 + 3x) = 51

Reorder the terms:
-10 + 6 + 8x + 3x = 51

Combine like terms: -10 + 6 = -4
-4 + 8x + 3x = 51

Combine like terms: 8x + 3x = 11x
-4 + 11x = 51

Solving
-4 + 11x = 51

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 11x = 51 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 51 + 4
11x = 51 + 4

Combine like terms: 51 + 4 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5