5a+3(5a+1)-1=-4(1+2a)-2a

Simple and best practice solution for 5a+3(5a+1)-1=-4(1+2a)-2a 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 5a+3(5a+1)-1=-4(1+2a)-2a equation:


Simplifying
5a + 3(5a + 1) + -1 = -4(1 + 2a) + -2a

Reorder the terms:
5a + 3(1 + 5a) + -1 = -4(1 + 2a) + -2a
5a + (1 * 3 + 5a * 3) + -1 = -4(1 + 2a) + -2a
5a + (3 + 15a) + -1 = -4(1 + 2a) + -2a

Reorder the terms:
3 + -1 + 5a + 15a = -4(1 + 2a) + -2a

Combine like terms: 3 + -1 = 2
2 + 5a + 15a = -4(1 + 2a) + -2a

Combine like terms: 5a + 15a = 20a
2 + 20a = -4(1 + 2a) + -2a
2 + 20a = (1 * -4 + 2a * -4) + -2a
2 + 20a = (-4 + -8a) + -2a

Combine like terms: -8a + -2a = -10a
2 + 20a = -4 + -10a

Solving
2 + 20a = -4 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
2 + 20a + 10a = -4 + -10a + 10a

Combine like terms: 20a + 10a = 30a
2 + 30a = -4 + -10a + 10a

Combine like terms: -10a + 10a = 0
2 + 30a = -4 + 0
2 + 30a = -4

Add '-2' to each side of the equation.
2 + -2 + 30a = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 30a = -4 + -2
30a = -4 + -2

Combine like terms: -4 + -2 = -6
30a = -6

Divide each side by '30'.
a = -0.2

Simplifying
a = -0.2

See similar equations:

| 2=6n-7 | | 1x=1y-4.2 | | 999999999999x=9999999999990 | | -31x=-31 | | -12h^4+3h^2= | | 2x-(x-1)=-2 | | 161050+x=313550 | | h-4h= | | 18a+7-11a= | | 3m-9-1=24 | | 4x^2=70 | | 6.4+4x=3.8x+7.6 | | -28=4(y-5)-8y | | 40+10e=2e-15 | | -7=-3(-7)+5 | | (-12h^4+h)-(-6h^4+3h^2-4h)= | | 2x=.2x+9 | | 5x-3x+8+3y-2y-7= | | 60-x=13x | | 55=-3-4k | | 3(7-13)=x-8 | | 10+10e=2e-15 | | 4x^2+15x+12=0 | | 4y+16=-3x | | 44x+2=2+44x | | 17x-8=14x+7 | | x^3-2x+56= | | 4x-2y=-2 | | 7=6x-5x+5 | | 19+-23= | | 18-6x=-22 | | 90x+30(90)=80x+80(90) |

Equations solver categories