2a+2(5a-13)=47-(2a-3)

Simple and best practice solution for 2a+2(5a-13)=47-(2a-3) 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 2a+2(5a-13)=47-(2a-3) equation:


Simplifying
2a + 2(5a + -13) = 47 + -1(2a + -3)

Reorder the terms:
2a + 2(-13 + 5a) = 47 + -1(2a + -3)
2a + (-13 * 2 + 5a * 2) = 47 + -1(2a + -3)
2a + (-26 + 10a) = 47 + -1(2a + -3)

Reorder the terms:
-26 + 2a + 10a = 47 + -1(2a + -3)

Combine like terms: 2a + 10a = 12a
-26 + 12a = 47 + -1(2a + -3)

Reorder the terms:
-26 + 12a = 47 + -1(-3 + 2a)
-26 + 12a = 47 + (-3 * -1 + 2a * -1)
-26 + 12a = 47 + (3 + -2a)

Combine like terms: 47 + 3 = 50
-26 + 12a = 50 + -2a

Solving
-26 + 12a = 50 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-26 + 12a + 2a = 50 + -2a + 2a

Combine like terms: 12a + 2a = 14a
-26 + 14a = 50 + -2a + 2a

Combine like terms: -2a + 2a = 0
-26 + 14a = 50 + 0
-26 + 14a = 50

Add '26' to each side of the equation.
-26 + 26 + 14a = 50 + 26

Combine like terms: -26 + 26 = 0
0 + 14a = 50 + 26
14a = 50 + 26

Combine like terms: 50 + 26 = 76
14a = 76

Divide each side by '14'.
a = 5.428571429

Simplifying
a = 5.428571429

See similar equations:

| 7.5m-1=4m+5 | | -99+11u=-66 | | 4(2)+6(3)+7= | | 9/x+13=5/2x | | -6x=7/9 | | 4d+5=2(2d-3) | | 0=x^2-2x+21 | | 16+4=-2v-8v | | (39)5= | | 4d+5=4d-12 | | 2(b+8)=6(b+2) | | X^2+49-100=0 | | 24y+12x+102=90 | | 5x^2+4=2x^2+2(7x+2) | | (39)-5= | | 3x-6=x-13 | | 54=6s-30 | | 12x+24y+102=90 | | -8-7=-5x-10 | | zx-x=c | | 8(22)= | | -3(2.153)-2(.1304)=6 | | 23/30/8/15 | | xa-a=c | | 8(v-2)=-(3-8v) | | In(x)=2 | | 5/8+6q/11=7q/11+3/4 | | 21+x^2-4x=0 | | 24+5r=5r+4(2r-4) | | 3-150x=2 | | -5.3=9.3z-8.3z-7.2 | | 150+3x=2 |

Equations solver categories