2(a-8)7=5(a+2)-3a-19

Simple and best practice solution for 2(a-8)7=5(a+2)-3a-19 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 2(a-8)7=5(a+2)-3a-19 equation:


Simplifying
2(a + -8) * 7 = 5(a + 2) + -3a + -19

Reorder the terms:
2(-8 + a) * 7 = 5(a + 2) + -3a + -19

Reorder the terms for easier multiplication:
2 * 7(-8 + a) = 5(a + 2) + -3a + -19

Multiply 2 * 7
14(-8 + a) = 5(a + 2) + -3a + -19
(-8 * 14 + a * 14) = 5(a + 2) + -3a + -19
(-112 + 14a) = 5(a + 2) + -3a + -19

Reorder the terms:
-112 + 14a = 5(2 + a) + -3a + -19
-112 + 14a = (2 * 5 + a * 5) + -3a + -19
-112 + 14a = (10 + 5a) + -3a + -19

Reorder the terms:
-112 + 14a = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-112 + 14a = -9 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-112 + 14a = -9 + 2a

Solving
-112 + 14a = -9 + 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.
-112 + 14a + -2a = -9 + 2a + -2a

Combine like terms: 14a + -2a = 12a
-112 + 12a = -9 + 2a + -2a

Combine like terms: 2a + -2a = 0
-112 + 12a = -9 + 0
-112 + 12a = -9

Add '112' to each side of the equation.
-112 + 112 + 12a = -9 + 112

Combine like terms: -112 + 112 = 0
0 + 12a = -9 + 112
12a = -9 + 112

Combine like terms: -9 + 112 = 103
12a = 103

Divide each side by '12'.
a = 8.583333333

Simplifying
a = 8.583333333

See similar equations:

| 200+39.99m=59.99m | | 7695x-5130=95(81x-54) | | 6x-10=10x+7 | | -5x+5=7x+29 | | 250x+110=2200x+150 | | 0.08(y-6)+0.16y=0.04y-0.6 | | 2tgx-3cotx-1=0 | | 16x^2+4xy=0 | | 6x-35=-5 | | 0.2+9=3.2x-0.8 | | -6x+1=-5x-2 | | 0.08(y-6)+0.16=0.04y-0.6 | | 200+29.99m=59.99m | | 9.4=-c+5.6 | | 14.50=y-53 | | -3(5+1x)=4(1x-2) | | 7x+8x-96=72-9x | | f-1=2-2x | | -4(z-19)=-4 | | 8x+37x-8=9(5x+6) | | 1.25(x)-2.50=13.50 | | 33-3x=19+11x | | 8x-14=21-x | | (-3x)+2=0 | | -140=-7(8-2b) | | 14.50-y=53 | | 8-2(6-4a)=4+12a | | -6x-2+3x=1 | | 37-10x=19+8x | | 2.6+10m=6.19 | | 4y-4+y+44=7y+40-5y | | 1.52-0.2t=6.5t-7.8t+2.29 |

Equations solver categories