5[2a-(3-a)]=5(a+3)

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


Simplifying
5[2a + -1(3 + -1a)] = 5(a + 3)
5[2a + (3 * -1 + -1a * -1)] = 5(a + 3)
5[2a + (-3 + 1a)] = 5(a + 3)

Reorder the terms:
5[-3 + 2a + 1a] = 5(a + 3)

Combine like terms: 2a + 1a = 3a
5[-3 + 3a] = 5(a + 3)
[-3 * 5 + 3a * 5] = 5(a + 3)
[-15 + 15a] = 5(a + 3)

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

Solving
-15 + 15a = 15 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-15 + 15a + -5a = 15 + 5a + -5a

Combine like terms: 15a + -5a = 10a
-15 + 10a = 15 + 5a + -5a

Combine like terms: 5a + -5a = 0
-15 + 10a = 15 + 0
-15 + 10a = 15

Add '15' to each side of the equation.
-15 + 15 + 10a = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 10a = 15 + 15
10a = 15 + 15

Combine like terms: 15 + 15 = 30
10a = 30

Divide each side by '10'.
a = 3

Simplifying
a = 3

See similar equations:

| 5x+7y-3x+9y= | | 8v=5v-8v | | d^2+42d=0 | | w^2+12w+20=0 | | y=7/4x-1 | | f(8)=3x-2 | | 3.6m^2np-8.7m^2np= | | 3y=z+am-4y | | f^2+25f+24=0 | | -8(x)=3x-2 | | S^2-50s=0 | | 2s^2-3s-14=0 | | X/4-105 | | -5.37x-(-6.03x)= | | 34x+-3x+-8x+5x=0 | | 10+34x+-3x^2+-8x^3+5x^4=0 | | Y^2+40y=0 | | 5x^4-8x^3+4=3x^2-34x-6 | | -2x^2yz-9x^2yz= | | 3p^2+20p=0 | | -6ab-(-8ab)= | | 12-v=5-v | | 32s^2-4s-1=0 | | 3s=3s | | 7x-7-4x=5x-6 | | 3a=3a | | 13x+5x=18 | | 3x-(2x-y)=r | | 4a^2-3ab-6b^2+5c^2+(-2a^2+7ab-4b^2-3c^2)+(-9a^2-8ab+5b^2-6c^2)= | | 18x^2-55x+5=0 | | (9)(2/3)-9/2 | | W^2-39w=0 |

Equations solver categories