15(a-2)-5(3-a)=7(2-3a)

Simple and best practice solution for 15(a-2)-5(3-a)=7(2-3a) 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 15(a-2)-5(3-a)=7(2-3a) equation:


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

Reorder the terms:
15(-2 + a) + -5(3 + -1a) = 7(2 + -3a)
(-2 * 15 + a * 15) + -5(3 + -1a) = 7(2 + -3a)
(-30 + 15a) + -5(3 + -1a) = 7(2 + -3a)
-30 + 15a + (3 * -5 + -1a * -5) = 7(2 + -3a)
-30 + 15a + (-15 + 5a) = 7(2 + -3a)

Reorder the terms:
-30 + -15 + 15a + 5a = 7(2 + -3a)

Combine like terms: -30 + -15 = -45
-45 + 15a + 5a = 7(2 + -3a)

Combine like terms: 15a + 5a = 20a
-45 + 20a = 7(2 + -3a)
-45 + 20a = (2 * 7 + -3a * 7)
-45 + 20a = (14 + -21a)

Solving
-45 + 20a = 14 + -21a

Solving for variable 'a'.

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

Add '21a' to each side of the equation.
-45 + 20a + 21a = 14 + -21a + 21a

Combine like terms: 20a + 21a = 41a
-45 + 41a = 14 + -21a + 21a

Combine like terms: -21a + 21a = 0
-45 + 41a = 14 + 0
-45 + 41a = 14

Add '45' to each side of the equation.
-45 + 45 + 41a = 14 + 45

Combine like terms: -45 + 45 = 0
0 + 41a = 14 + 45
41a = 14 + 45

Combine like terms: 14 + 45 = 59
41a = 59

Divide each side by '41'.
a = 1.43902439

Simplifying
a = 1.43902439

See similar equations:

| 5x-13=-62-10x | | x+y=15+3 | | 10cos(x-20)=6 | | 2(3y-4)=22 | | =Ln(sinx) | | Bx+1=19 | | Vx+1=19 | | 7x+5=6x+17 | | -2x+X=-0.3 | | b+(p-5)=(p+3)-(b+2) | | 6x-24y= | | 8(x-3)=21 | | x^3-13x^2+39x-27=0 | | 24g-6=45g-90 | | 6x+10y=7.5 | | 150h+15h^2+h^3=3375 | | .3375+150h+15h^2+h^3=0 | | 3(a)+4(b)=85 | | 3x+44-24=0 | | 6m+4=16whatism | | 4e^3x=7 | | 600x+4x^3+60x^2=13500 | | (2x-3)(3x-12)=0 | | 5y+10=4-7y | | 3x-12=51 | | 4x(-8)= | | (-2)x(-5)= | | (5x^2-30x+15)(x+0.2)=0 | | 12+Y=4Y | | 8x-1=x^2 | | 12p-30= | | 4(c-1)z=4c^2-4 |

Equations solver categories