6(5x-4)+5(15-4x)-3(3x+4)=-11

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Solution for 6(5x-4)+5(15-4x)-3(3x+4)=-11 equation:


Simplifying
6(5x + -4) + 5(15 + -4x) + -3(3x + 4) = -11

Reorder the terms:
6(-4 + 5x) + 5(15 + -4x) + -3(3x + 4) = -11
(-4 * 6 + 5x * 6) + 5(15 + -4x) + -3(3x + 4) = -11
(-24 + 30x) + 5(15 + -4x) + -3(3x + 4) = -11
-24 + 30x + (15 * 5 + -4x * 5) + -3(3x + 4) = -11
-24 + 30x + (75 + -20x) + -3(3x + 4) = -11

Reorder the terms:
-24 + 30x + 75 + -20x + -3(4 + 3x) = -11
-24 + 30x + 75 + -20x + (4 * -3 + 3x * -3) = -11
-24 + 30x + 75 + -20x + (-12 + -9x) = -11

Reorder the terms:
-24 + 75 + -12 + 30x + -20x + -9x = -11

Combine like terms: -24 + 75 = 51
51 + -12 + 30x + -20x + -9x = -11

Combine like terms: 51 + -12 = 39
39 + 30x + -20x + -9x = -11

Combine like terms: 30x + -20x = 10x
39 + 10x + -9x = -11

Combine like terms: 10x + -9x = 1x
39 + 1x = -11

Solving
39 + 1x = -11

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + 1x = -11 + -39

Combine like terms: 39 + -39 = 0
0 + 1x = -11 + -39
1x = -11 + -39

Combine like terms: -11 + -39 = -50
1x = -50

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

Simplifying
x = -50

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