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

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


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

Reorder the terms:
7 + 4(-3 + a) = -2(3a + -5)
7 + (-3 * 4 + a * 4) = -2(3a + -5)
7 + (-12 + 4a) = -2(3a + -5)

Combine like terms: 7 + -12 = -5
-5 + 4a = -2(3a + -5)

Reorder the terms:
-5 + 4a = -2(-5 + 3a)
-5 + 4a = (-5 * -2 + 3a * -2)
-5 + 4a = (10 + -6a)

Solving
-5 + 4a = 10 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-5 + 4a + 6a = 10 + -6a + 6a

Combine like terms: 4a + 6a = 10a
-5 + 10a = 10 + -6a + 6a

Combine like terms: -6a + 6a = 0
-5 + 10a = 10 + 0
-5 + 10a = 10

Add '5' to each side of the equation.
-5 + 5 + 10a = 10 + 5

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

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

Divide each side by '10'.
a = 1.5

Simplifying
a = 1.5

See similar equations:

| .16y+.05(y+2000)=940 | | 2x=x^2-8x+1 | | -125(1)= | | -14=2(5n+1)+2(1-8n) | | 2x+8=2-3x-9 | | 2a^2b^4/a^3b^2.(2a^2b/3a^4b^5)^-2 | | 15x-5=6x-4 | | z-5z=6z-7-z | | d/a=-31 | | 22a^2+33a=0 | | y=2(412)+18.95 | | 9xa= | | 2(3x-5)-x=5 | | 6-(x+5)=4x-4 | | -6y-4y-9y= | | 0.05w=1.4 | | 11/12-(-10)-5/6= | | 2a+3=3+6a | | (c^3)+(d^3)=2c | | 7(-6/14) | | 15x+35=1y-5 | | -2x-5y=-22 | | 8y-7=-13-8y | | 7x-2(3x-4)=9-2x | | 7x-13=4x-12 | | 3x-7=70 | | 2+5m=7(m-2) | | -3/4-x=1/3 | | 30+20m=20+3m | | 8n-2n=6 | | -125*1= | | -5+6x=-5+4x |

Equations solver categories