6(4x-5)-5(3x-16)=8x+6

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Solution for 6(4x-5)-5(3x-16)=8x+6 equation:


Simplifying
6(4x + -5) + -5(3x + -16) = 8x + 6

Reorder the terms:
6(-5 + 4x) + -5(3x + -16) = 8x + 6
(-5 * 6 + 4x * 6) + -5(3x + -16) = 8x + 6
(-30 + 24x) + -5(3x + -16) = 8x + 6

Reorder the terms:
-30 + 24x + -5(-16 + 3x) = 8x + 6
-30 + 24x + (-16 * -5 + 3x * -5) = 8x + 6
-30 + 24x + (80 + -15x) = 8x + 6

Reorder the terms:
-30 + 80 + 24x + -15x = 8x + 6

Combine like terms: -30 + 80 = 50
50 + 24x + -15x = 8x + 6

Combine like terms: 24x + -15x = 9x
50 + 9x = 8x + 6

Reorder the terms:
50 + 9x = 6 + 8x

Solving
50 + 9x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
50 + 9x + -8x = 6 + 8x + -8x

Combine like terms: 9x + -8x = 1x
50 + 1x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
50 + 1x = 6 + 0
50 + 1x = 6

Add '-50' to each side of the equation.
50 + -50 + 1x = 6 + -50

Combine like terms: 50 + -50 = 0
0 + 1x = 6 + -50
1x = 6 + -50

Combine like terms: 6 + -50 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44

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