3(m-5)-3=-4(-3x+6)-x

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


Simplifying
3(m + -5) + -3 = -4(-3x + 6) + -1x

Reorder the terms:
3(-5 + m) + -3 = -4(-3x + 6) + -1x
(-5 * 3 + m * 3) + -3 = -4(-3x + 6) + -1x
(-15 + 3m) + -3 = -4(-3x + 6) + -1x

Reorder the terms:
-15 + -3 + 3m = -4(-3x + 6) + -1x

Combine like terms: -15 + -3 = -18
-18 + 3m = -4(-3x + 6) + -1x

Reorder the terms:
-18 + 3m = -4(6 + -3x) + -1x
-18 + 3m = (6 * -4 + -3x * -4) + -1x
-18 + 3m = (-24 + 12x) + -1x

Combine like terms: 12x + -1x = 11x
-18 + 3m = -24 + 11x

Solving
-18 + 3m = -24 + 11x

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + 3m = -24 + 18 + 11x

Combine like terms: -18 + 18 = 0
0 + 3m = -24 + 18 + 11x
3m = -24 + 18 + 11x

Combine like terms: -24 + 18 = -6
3m = -6 + 11x

Divide each side by '3'.
m = -2 + 3.666666667x

Simplifying
m = -2 + 3.666666667x

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