6(4x-1)+3(19-5x)-2(4x+5)=-9

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Solution for 6(4x-1)+3(19-5x)-2(4x+5)=-9 equation:


Simplifying
6(4x + -1) + 3(19 + -5x) + -2(4x + 5) = -9

Reorder the terms:
6(-1 + 4x) + 3(19 + -5x) + -2(4x + 5) = -9
(-1 * 6 + 4x * 6) + 3(19 + -5x) + -2(4x + 5) = -9
(-6 + 24x) + 3(19 + -5x) + -2(4x + 5) = -9
-6 + 24x + (19 * 3 + -5x * 3) + -2(4x + 5) = -9
-6 + 24x + (57 + -15x) + -2(4x + 5) = -9

Reorder the terms:
-6 + 24x + 57 + -15x + -2(5 + 4x) = -9
-6 + 24x + 57 + -15x + (5 * -2 + 4x * -2) = -9
-6 + 24x + 57 + -15x + (-10 + -8x) = -9

Reorder the terms:
-6 + 57 + -10 + 24x + -15x + -8x = -9

Combine like terms: -6 + 57 = 51
51 + -10 + 24x + -15x + -8x = -9

Combine like terms: 51 + -10 = 41
41 + 24x + -15x + -8x = -9

Combine like terms: 24x + -15x = 9x
41 + 9x + -8x = -9

Combine like terms: 9x + -8x = 1x
41 + 1x = -9

Solving
41 + 1x = -9

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 1x = -9 + -41

Combine like terms: 41 + -41 = 0
0 + 1x = -9 + -41
1x = -9 + -41

Combine like terms: -9 + -41 = -50
1x = -50

Divide each side by '1'.
x = -50

Simplifying
x = -50

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