7(4a-3)-(2a+1)*9=2(a-9)

Simple and best practice solution for 7(4a-3)-(2a+1)*9=2(a-9) 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(4a-3)-(2a+1)*9=2(a-9) equation:


Simplifying
7(4a + -3) + -1(2a + 1) * 9 = 2(a + -9)

Reorder the terms:
7(-3 + 4a) + -1(2a + 1) * 9 = 2(a + -9)
(-3 * 7 + 4a * 7) + -1(2a + 1) * 9 = 2(a + -9)
(-21 + 28a) + -1(2a + 1) * 9 = 2(a + -9)

Reorder the terms:
-21 + 28a + -1(1 + 2a) * 9 = 2(a + -9)

Reorder the terms for easier multiplication:
-21 + 28a + -1 * 9(1 + 2a) = 2(a + -9)

Multiply -1 * 9
-21 + 28a + -9(1 + 2a) = 2(a + -9)
-21 + 28a + (1 * -9 + 2a * -9) = 2(a + -9)
-21 + 28a + (-9 + -18a) = 2(a + -9)

Reorder the terms:
-21 + -9 + 28a + -18a = 2(a + -9)

Combine like terms: -21 + -9 = -30
-30 + 28a + -18a = 2(a + -9)

Combine like terms: 28a + -18a = 10a
-30 + 10a = 2(a + -9)

Reorder the terms:
-30 + 10a = 2(-9 + a)
-30 + 10a = (-9 * 2 + a * 2)
-30 + 10a = (-18 + 2a)

Solving
-30 + 10a = -18 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-30 + 10a + -2a = -18 + 2a + -2a

Combine like terms: 10a + -2a = 8a
-30 + 8a = -18 + 2a + -2a

Combine like terms: 2a + -2a = 0
-30 + 8a = -18 + 0
-30 + 8a = -18

Add '30' to each side of the equation.
-30 + 30 + 8a = -18 + 30

Combine like terms: -30 + 30 = 0
0 + 8a = -18 + 30
8a = -18 + 30

Combine like terms: -18 + 30 = 12
8a = 12

Divide each side by '8'.
a = 1.5

Simplifying
a = 1.5

See similar equations:

| 3m+3=20 | | -27-2x=45-8x | | 41-2x=63 | | 3xy+2yx=0 | | 6x-x=1805 | | 3/15-2/25= | | -99+9x=97-5x | | 2/3x-1=7/3 | | 3-51/3= | | x=20-(20-x) | | (16m^8n^4)^1/4 | | y/3+5=9 | | 108-x=199 | | 9x+36=15(2x-2) | | 127=206-u | | -16+36=-4(x+8) | | (3x+5)(3x^2-16x+16)=0 | | y=4s^2-1 | | 161=-w+90 | | 4y=16x | | -v+285=217 | | X(2x-3)=16 | | y+4=-25x | | 3/7X5/6= | | 18+v=4v | | (X-2)/4-(3x-1)/8=x/2 | | 17x-5=10x-19 | | 2y=10-3y | | 4a^2-23a+5=144 | | 100=(2x)(x+5) | | 2(3-7)=34 | | 4(7x-5)-9(8x-2)=-12 |

Equations solver categories