3(5x-1)+3(15-2x)-2(4x+1)=-1

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Solution for 3(5x-1)+3(15-2x)-2(4x+1)=-1 equation:


Simplifying
3(5x + -1) + 3(15 + -2x) + -2(4x + 1) = -1

Reorder the terms:
3(-1 + 5x) + 3(15 + -2x) + -2(4x + 1) = -1
(-1 * 3 + 5x * 3) + 3(15 + -2x) + -2(4x + 1) = -1
(-3 + 15x) + 3(15 + -2x) + -2(4x + 1) = -1
-3 + 15x + (15 * 3 + -2x * 3) + -2(4x + 1) = -1
-3 + 15x + (45 + -6x) + -2(4x + 1) = -1

Reorder the terms:
-3 + 15x + 45 + -6x + -2(1 + 4x) = -1
-3 + 15x + 45 + -6x + (1 * -2 + 4x * -2) = -1
-3 + 15x + 45 + -6x + (-2 + -8x) = -1

Reorder the terms:
-3 + 45 + -2 + 15x + -6x + -8x = -1

Combine like terms: -3 + 45 = 42
42 + -2 + 15x + -6x + -8x = -1

Combine like terms: 42 + -2 = 40
40 + 15x + -6x + -8x = -1

Combine like terms: 15x + -6x = 9x
40 + 9x + -8x = -1

Combine like terms: 9x + -8x = 1x
40 + 1x = -1

Solving
40 + 1x = -1

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 1x = -1 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = -1 + -40
1x = -1 + -40

Combine like terms: -1 + -40 = -41
1x = -41

Divide each side by '1'.
x = -41

Simplifying
x = -41

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