6(1+3m)=-8(-2m+5)+x

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Solution for 6(1+3m)=-8(-2m+5)+x equation:


Simplifying
6(1 + 3m) = -8(-2m + 5) + x
(1 * 6 + 3m * 6) = -8(-2m + 5) + x
(6 + 18m) = -8(-2m + 5) + x

Reorder the terms:
6 + 18m = -8(5 + -2m) + x
6 + 18m = (5 * -8 + -2m * -8) + x
6 + 18m = (-40 + 16m) + x

Solving
6 + 18m = -40 + 16m + x

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
6 + 18m + -16m = -40 + 16m + -16m + x

Combine like terms: 18m + -16m = 2m
6 + 2m = -40 + 16m + -16m + x

Combine like terms: 16m + -16m = 0
6 + 2m = -40 + 0 + x
6 + 2m = -40 + x

Add '-6' to each side of the equation.
6 + -6 + 2m = -40 + -6 + x

Combine like terms: 6 + -6 = 0
0 + 2m = -40 + -6 + x
2m = -40 + -6 + x

Combine like terms: -40 + -6 = -46
2m = -46 + x

Divide each side by '2'.
m = -23 + 0.5x

Simplifying
m = -23 + 0.5x

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