3(x-5)+4(2x-1)=47

Solution for 3(x-5)+4(2x-1)=47 equation:

Simplifying
3(x + -5) + 4(2x + -1) = 47

Reorder the terms:
3(-5 + x) + 4(2x + -1) = 47
(-5 * 3 + x * 3) + 4(2x + -1) = 47
(-15 + 3x) + 4(2x + -1) = 47

Reorder the terms:
-15 + 3x + 4(-1 + 2x) = 47
-15 + 3x + (-1 * 4 + 2x * 4) = 47
-15 + 3x + (-4 + 8x) = 47

Reorder the terms:
-15 + -4 + 3x + 8x = 47

Combine like terms: -15 + -4 = -19
-19 + 3x + 8x = 47

Combine like terms: 3x + 8x = 11x
-19 + 11x = 47

Solving
-19 + 11x = 47

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 11x = 47 + 19

Combine like terms: -19 + 19 = 0
0 + 11x = 47 + 19
11x = 47 + 19

Combine like terms: 47 + 19 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6