7(a-2)=-(-4a-7)

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


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

Reorder the terms:
7(-2 + a) = -1(-4a + -7)
(-2 * 7 + a * 7) = -1(-4a + -7)
(-14 + 7a) = -1(-4a + -7)

Reorder the terms:
-14 + 7a = -1(-7 + -4a)
-14 + 7a = (-7 * -1 + -4a * -1)
-14 + 7a = (7 + 4a)

Solving
-14 + 7a = 7 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-14 + 7a + -4a = 7 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-14 + 3a = 7 + 4a + -4a

Combine like terms: 4a + -4a = 0
-14 + 3a = 7 + 0
-14 + 3a = 7

Add '14' to each side of the equation.
-14 + 14 + 3a = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 3a = 7 + 14
3a = 7 + 14

Combine like terms: 7 + 14 = 21
3a = 21

Divide each side by '3'.
a = 7

Simplifying
a = 7

See similar equations:

| 50+4x+15=140 | | 2(3x-4)=9x-10 | | 7(4x+2)=5(3x-1) | | 3(2+4x)=3(4-x) | | =1000-280x+12x^2 | | 5.4(3k-12)+3.2(2k+6)=-126 | | 1/3(v-2q)=2v+3 | | 6g+7=2g-5 | | 18-r=20 | | 2/3n+6=15 | | 2/5y+3=-7 | | 50+4+15x=140 | | -3(4t-w)=4t | | 2.58y-7=12.85y-2 | | 2/5(x-5)=4/9 | | -7v+8(v+11)=v-57 | | G=3(t-s) | | w+10=5 | | 6x+7+x=-56 | | 5(-3-y)+2y=9 | | 4x+18+1=14 | | 9/5/32 | | 0.5y+2=0.8-0.3y | | 8-d=-3d+4 | | -7(1+4b)=-8(b-3)+11b | | y/4-3=11 | | F=9/3C+32 | | -13/15= | | 12(x+3)=4(2x+9)+4k | | -7+b=-5 | | f(-2)=3 | | 2(3x+4)(x-8)=3(4x+2)-7x+10 |

Equations solver categories