5m+7-3=10m-(8m-10)

Simple and best practice solution for 5m+7-3=10m-(8m-10) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5m+7-3=10m-(8m-10) equation:


Simplifying
5m + 7 + -3 = 10m + -1(8m + -10)

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

Combine like terms: 7 + -3 = 4
4 + 5m = 10m + -1(8m + -10)

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

Reorder the terms:
4 + 5m = 10 + 10m + -8m

Combine like terms: 10m + -8m = 2m
4 + 5m = 10 + 2m

Solving
4 + 5m = 10 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
4 + 5m + -2m = 10 + 2m + -2m

Combine like terms: 5m + -2m = 3m
4 + 3m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
4 + 3m = 10 + 0
4 + 3m = 10

Add '-4' to each side of the equation.
4 + -4 + 3m = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3m = 10 + -4
3m = 10 + -4

Combine like terms: 10 + -4 = 6
3m = 6

Divide each side by '3'.
m = 2

Simplifying
m = 2

See similar equations:

| 5d+6=d-2 | | q=-7q-8 | | 2y+4y=5y-6 | | -8f=-7f+7 | | Y=-3.8x+4.9 | | -2-2b=8b+8 | | 5x-6x=-5 | | -8-8s=-7s | | 6y+2.5=7y-3.6 | | 16a-6=2a | | -9p+p=9-p | | -3k+5=-2k-3 | | 8-(4c+5)=11 | | 10-2r=50 | | 3+k=-2k | | 5x+10x+25x=40x^3 | | -10=8+3n | | -33n=-7a-5 | | 2(40)(60)=(x+40)(x+60) | | 12j+3j+3j-17j=45 | | 4p+10=-10+p-10 | | 6(w-7)-(2+9w)=-4w | | 5+3b=-2+5b | | 3x+4=-6x+3 | | 2p-2p+3p+2p-2p=15 | | 7d-3d-d-2d+1=10 | | x=0.8x+10000 | | 9m+4m-9m+2m-5m=13 | | 2=-5(-8r-2)-8(r+1) | | 12a+a-10a-a+1=15 | | 6(7+2n)+5n=5(6+4n) | | 20y-13y-4y=18 |

Equations solver categories