5(2x-4)+7x+1=2(x+3)+65

Solution for 5(2x-4)+7x+1=2(x+3)+65 equation:

Simplifying
5(2x + -4) + 7x + 1 = 2(x + 3) + 65

Reorder the terms:
5(-4 + 2x) + 7x + 1 = 2(x + 3) + 65
(-4 * 5 + 2x * 5) + 7x + 1 = 2(x + 3) + 65
(-20 + 10x) + 7x + 1 = 2(x + 3) + 65

Reorder the terms:
-20 + 1 + 10x + 7x = 2(x + 3) + 65

Combine like terms: -20 + 1 = -19
-19 + 10x + 7x = 2(x + 3) + 65

Combine like terms: 10x + 7x = 17x
-19 + 17x = 2(x + 3) + 65

Reorder the terms:
-19 + 17x = 2(3 + x) + 65
-19 + 17x = (3 * 2 + x * 2) + 65
-19 + 17x = (6 + 2x) + 65

Reorder the terms:
-19 + 17x = 6 + 65 + 2x

Combine like terms: 6 + 65 = 71
-19 + 17x = 71 + 2x

Solving
-19 + 17x = 71 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-19 + 17x + -2x = 71 + 2x + -2x

Combine like terms: 17x + -2x = 15x
-19 + 15x = 71 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 15x = 71 + 0
-19 + 15x = 71

Add '19' to each side of the equation.
-19 + 19 + 15x = 71 + 19

Combine like terms: -19 + 19 = 0
0 + 15x = 71 + 19
15x = 71 + 19

Combine like terms: 71 + 19 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6