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

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


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

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

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

Reorder the terms:
-3 + 6 + -2 + 15x + -6x + -8x = -1

Combine like terms: -3 + 6 = 3
3 + -2 + 15x + -6x + -8x = -1

Combine like terms: 3 + -2 = 1
1 + 15x + -6x + -8x = -1

Combine like terms: 15x + -6x = 9x
1 + 9x + -8x = -1

Combine like terms: 9x + -8x = 1x
1 + 1x = -1

Solving
1 + 1x = -1

Solving for variable 'x'.

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

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

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

Combine like terms: -1 + -1 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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