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

Simple and best practice solution for 7(a+1)-3a=5+4(2a-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 7(a+1)-3a=5+4(2a-2) equation:


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

Reorder the terms:
7(1 + a) + -3a = 5 + 4(2a + -2)
(1 * 7 + a * 7) + -3a = 5 + 4(2a + -2)
(7 + 7a) + -3a = 5 + 4(2a + -2)

Combine like terms: 7a + -3a = 4a
7 + 4a = 5 + 4(2a + -2)

Reorder the terms:
7 + 4a = 5 + 4(-2 + 2a)
7 + 4a = 5 + (-2 * 4 + 2a * 4)
7 + 4a = 5 + (-8 + 8a)

Combine like terms: 5 + -8 = -3
7 + 4a = -3 + 8a

Solving
7 + 4a = -3 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
7 + 4a + -8a = -3 + 8a + -8a

Combine like terms: 4a + -8a = -4a
7 + -4a = -3 + 8a + -8a

Combine like terms: 8a + -8a = 0
7 + -4a = -3 + 0
7 + -4a = -3

Add '-7' to each side of the equation.
7 + -7 + -4a = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = -3 + -7
-4a = -3 + -7

Combine like terms: -3 + -7 = -10
-4a = -10

Divide each side by '-4'.
a = 2.5

Simplifying
a = 2.5

See similar equations:

| 2x+12=490 | | -(8x-2)=3+10(1-3x) | | 3(0.5-1.5k)+1k=4 | | 3x^4-3x^3-27x^2+27x=0 | | 2x-(3x-4)=3(4-2x)+8 | | .5(12x-4)=14-10n | | 6z-2z=78-75-2 | | 1x+2y=2 | | 13-(4a-1)2=(4a+7)(7-4a)-37 | | 8[4(3-5)]= | | -2y+2=-2(2y+5) | | 2x+0y=1 | | 8x-3(x-2)=5x+3 | | 2x+you=1 | | a=-5h(3x-y) | | 7y-2x=0 | | 5x=x^2+300 | | 7m-9=4m+9 | | 25x-7=50x+3 | | 6(y-4)=4y-30 | | 3n+4n=84 | | 2(x-(2x+4)+3)=2(x+1) | | 13+2y=15 | | 15x-2=30x+8 | | 8m-2=3m+23 | | 0.5(x+10)+1.3x=86 | | 5x^2=x+300 | | 6x+18=4x+16 | | 8n-5n=33 | | X=X^2+300 | | -33+(-8)= | | 6+(-2y)=18 |

Equations solver categories