8(-4x+m)=5(x+6)-2

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Solution for 8(-4x+m)=5(x+6)-2 equation: 


Simplifying
8(-4x + m) = 5(x + 6) + -2

Reorder the terms:
8(m + -4x) = 5(x + 6) + -2
(m * 8 + -4x * 8) = 5(x + 6) + -2
(8m + -32x) = 5(x + 6) + -2

Reorder the terms:
8m + -32x = 5(6 + x) + -2
8m + -32x = (6 * 5 + x * 5) + -2
8m + -32x = (30 + 5x) + -2

Reorder the terms:
8m + -32x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
8m + -32x = 28 + 5x

Solving
8m + -32x = 28 + 5x

Solving for variable 'm'.

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

Add '32x' to each side of the equation.
8m + -32x + 32x = 28 + 5x + 32x

Combine like terms: -32x + 32x = 0
8m + 0 = 28 + 5x + 32x
8m = 28 + 5x + 32x

Combine like terms: 5x + 32x = 37x
8m = 28 + 37x

Divide each side by '8'.
m = 3.5 + 4.625x

Simplifying
m = 3.5 + 4.625x

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