5(mx+6)=-4(-5-2x)+3x

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Solution for 5(mx+6)=-4(-5-2x)+3x equation:


Simplifying
5(mx + 6) = -4(-5 + -2x) + 3x

Reorder the terms:
5(6 + mx) = -4(-5 + -2x) + 3x
(6 * 5 + mx * 5) = -4(-5 + -2x) + 3x
(30 + 5mx) = -4(-5 + -2x) + 3x
30 + 5mx = (-5 * -4 + -2x * -4) + 3x
30 + 5mx = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
30 + 5mx = 20 + 11x

Solving
30 + 5mx = 20 + 11x

Solving for variable 'm'.

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

Add '-30' to each side of the equation.
30 + -30 + 5mx = 20 + -30 + 11x

Combine like terms: 30 + -30 = 0
0 + 5mx = 20 + -30 + 11x
5mx = 20 + -30 + 11x

Combine like terms: 20 + -30 = -10
5mx = -10 + 11x

Divide each side by '5x'.
m = -2x-1 + 2.2

Simplifying
m = -2x-1 + 2.2

Reorder the terms:
m = 2.2 + -2x-1

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