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

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


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

Reorder the terms:
2(-4 + a) + 3a = 3(a + -2)
(-4 * 2 + a * 2) + 3a = 3(a + -2)
(-8 + 2a) + 3a = 3(a + -2)

Combine like terms: 2a + 3a = 5a
-8 + 5a = 3(a + -2)

Reorder the terms:
-8 + 5a = 3(-2 + a)
-8 + 5a = (-2 * 3 + a * 3)
-8 + 5a = (-6 + 3a)

Solving
-8 + 5a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-8 + 5a + -3a = -6 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-8 + 2a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-8 + 2a = -6 + 0
-8 + 2a = -6

Add '8' to each side of the equation.
-8 + 8 + 2a = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = -6 + 8
2a = -6 + 8

Combine like terms: -6 + 8 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1

See similar equations:

| -32+15= | | (3z+8)(3+z)=0 | | 7y+25=5+4a | | 11+8x=3(15x-1) | | -6-9=-2n+53 | | 5(x-2)=2x-16 | | 6x+5.4*4=42 | | p+7=-4 | | 5(2x+4)+8=18x+20 | | -9+16=5n+13 | | .66666667k-k+.375=.5 | | 42=m-10 | | 6(2x+3)=3(x+9) | | 4(x+6)=4x-9 | | 12-2.2s=4 | | 30y=162 | | 3(x+5)=5x-9 | | 13=10-y | | 4x+5=3(x-6) | | -5(8x-6)-x(x+6)= | | 4+6x=-8+4x | | 2x+30=9(x+1) | | y-1=-3(x-4) | | 4(x+2)=x+23 | | 17-x=.66666666666666666(15)+6 | | 5-7x-10x+7= | | 17-x=.67(15)+6 | | -8x^7+x^6+x^5+x^4+9x^3+9x^2-9=0 | | 5-2(x+2)=3x-7+x | | (n+70)/6=18 | | 11t-5t=1 | | 3(2x+10)=2(2x+10) |

Equations solver categories