3(5x-2)+4(17-2x)-2(3x+1)=-1

Solution for 3(5x-2)+4(17-2x)-2(3x+1)=-1 equation:

Simplifying
3(5x + -2) + 4(17 + -2x) + -2(3x + 1) = -1

Reorder the terms:
3(-2 + 5x) + 4(17 + -2x) + -2(3x + 1) = -1
(-2 * 3 + 5x * 3) + 4(17 + -2x) + -2(3x + 1) = -1
(-6 + 15x) + 4(17 + -2x) + -2(3x + 1) = -1
-6 + 15x + (17 * 4 + -2x * 4) + -2(3x + 1) = -1
-6 + 15x + (68 + -8x) + -2(3x + 1) = -1

Reorder the terms:
-6 + 15x + 68 + -8x + -2(1 + 3x) = -1
-6 + 15x + 68 + -8x + (1 * -2 + 3x * -2) = -1
-6 + 15x + 68 + -8x + (-2 + -6x) = -1

Reorder the terms:
-6 + 68 + -2 + 15x + -8x + -6x = -1

Combine like terms: -6 + 68 = 62
62 + -2 + 15x + -8x + -6x = -1

Combine like terms: 62 + -2 = 60
60 + 15x + -8x + -6x = -1

Combine like terms: 15x + -8x = 7x
60 + 7x + -6x = -1

Combine like terms: 7x + -6x = 1x
60 + 1x = -1

Solving
60 + 1x = -1

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 1x = -1 + -60

Combine like terms: 60 + -60 = 0
0 + 1x = -1 + -60
1x = -1 + -60

Combine like terms: -1 + -60 = -61
1x = -61

Divide each side by '1'.
x = -61

Simplifying
x = -61