2(5m+3)-4(3m-3)=m(m-8)-m(m+7)

Solution for 2(5m+3)-4(3m-3)=m(m-8)-m(m+7) equation:

Simplifying
2(5m + 3) + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Reorder the terms:
2(3 + 5m) + -4(3m + -3) = m(m + -8) + -1m(m + 7)
(3 * 2 + 5m * 2) + -4(3m + -3) = m(m + -8) + -1m(m + 7)
(6 + 10m) + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Reorder the terms:
6 + 10m + -4(-3 + 3m) = m(m + -8) + -1m(m + 7)
6 + 10m + (-3 * -4 + 3m * -4) = m(m + -8) + -1m(m + 7)
6 + 10m + (12 + -12m) = m(m + -8) + -1m(m + 7)

Reorder the terms:
6 + 12 + 10m + -12m = m(m + -8) + -1m(m + 7)

Combine like terms: 6 + 12 = 18
18 + 10m + -12m = m(m + -8) + -1m(m + 7)

Combine like terms: 10m + -12m = -2m
18 + -2m = m(m + -8) + -1m(m + 7)

Reorder the terms:
18 + -2m = m(-8 + m) + -1m(m + 7)
18 + -2m = (-8 * m + m * m) + -1m(m + 7)
18 + -2m = (-8m + m2) + -1m(m + 7)

Reorder the terms:
18 + -2m = -8m + m2 + -1m(7 + m)
18 + -2m = -8m + m2 + (7 * -1m + m * -1m)
18 + -2m = -8m + m2 + (-7m + -1m2)

Reorder the terms:
18 + -2m = -8m + -7m + m2 + -1m2

Combine like terms: -8m + -7m = -15m
18 + -2m = -15m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
18 + -2m = -15m + 0
18 + -2m = -15m

Solving
18 + -2m = -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
18 + -2m + 15m = -15m + 15m

Combine like terms: -2m + 15m = 13m
18 + 13m = -15m + 15m

Combine like terms: -15m + 15m = 0
18 + 13m = 0

Add '-18' to each side of the equation.
18 + -18 + 13m = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 13m = 0 + -18
13m = 0 + -18

Combine like terms: 0 + -18 = -18
13m = -18

Divide each side by '13'.
m = -1.384615385

Simplifying
m = -1.384615385