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

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


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

Reorder the terms:
5(-7 + a) = 3(a + 4)
(-7 * 5 + a * 5) = 3(a + 4)
(-35 + 5a) = 3(a + 4)

Reorder the terms:
-35 + 5a = 3(4 + a)
-35 + 5a = (4 * 3 + a * 3)
-35 + 5a = (12 + 3a)

Solving
-35 + 5a = 12 + 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.
-35 + 5a + -3a = 12 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-35 + 2a = 12 + 3a + -3a

Combine like terms: 3a + -3a = 0
-35 + 2a = 12 + 0
-35 + 2a = 12

Add '35' to each side of the equation.
-35 + 35 + 2a = 12 + 35

Combine like terms: -35 + 35 = 0
0 + 2a = 12 + 35
2a = 12 + 35

Combine like terms: 12 + 35 = 47
2a = 47

Divide each side by '2'.
a = 23.5

Simplifying
a = 23.5

See similar equations:

| 8y+4y=-20 | | X^2+y^2-2xy-16=0 | | Y^2+18y+9=0 | | 5.3=1.3z-13 | | -9.8=1.4y-4.2 | | 23=(x+3)+2 | | 4x-8x+4= | | -3.6+1.2y=2.4 | | x+4=2(0.04+1.3) | | 8n+80=0 | | -c-8=c+36 | | r^3-6r^2+5r-30=0 | | 6x-10+6x-10+8x-180=180 | | 4x^2-4x=39 | | r^3-6r^2+5r-30=o | | 3x+x+80=180 | | h-98=-h-8 | | 0.125=0.025(5x+1) | | -a+3=a+37 | | 4X-6=1x+3 | | 5.95=0.19m+15.83 | | 5+4n=8n+5+4n | | 6x-10+8x-180+8x-180=180 | | 0.19=5.95m+15.83 | | 0.75(x-2)+0.25x=0.5 | | 3x^2=2x+4 | | u+6u-u= | | x+5=2*x-3 | | z^2-7z+(13-i)=0 | | 14+7n=7(2+n) | | 0.25(60)+0.10x=-0.15(60+x) | | 12-2k=16-12 |

Equations solver categories