7(e^3x-4-8)=18

Simple and best practice solution for 7(e^3x-4-8)=18 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(e^3x-4-8)=18 equation: 


Simplifying
7(e3x + -4 + -8) = 18

Reorder the terms:
7(-4 + -8 + e3x) = 18

Combine like terms: -4 + -8 = -12
7(-12 + e3x) = 18
(-12 * 7 + e3x * 7) = 18
(-84 + 7e3x) = 18

Solving
-84 + 7e3x = 18

Solving for variable 'e'.

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

Add '84' to each side of the equation.
-84 + 84 + 7e3x = 18 + 84

Combine like terms: -84 + 84 = 0
0 + 7e3x = 18 + 84
7e3x = 18 + 84

Combine like terms: 18 + 84 = 102
7e3x = 102

Divide each side by '7x'.
e3 = 14.57142857x-1

Simplifying
e3 = 14.57142857x-1

Combine like terms: 14.57142857x-1 + -14.57142857x-1 = 0.00000000
e3 + -14.57142857x-1 = 0.00000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -14.57142857) = 0.00000000


Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve:

Simplifying
x-1 = 0

Solving
x-1 = 0

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

Add '-1x-1' to each side of the equation.
x-1 + -1x-1 = 0 + -1x-1
Remove the zero:
0 = -1x-1

Simplifying
0 = -1x-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(e3x + -14.57142857)' equal to zero and attempt to solve:

Simplifying
e3x + -14.57142857 = 0

Reorder the terms:
-14.57142857 + e3x = 0

Solving
-14.57142857 + e3x = 0

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

Add '14.57142857' to each side of the equation.
-14.57142857 + 14.57142857 + e3x = 0 + 14.57142857

Combine like terms: -14.57142857 + 14.57142857 = 0.00000000
0.00000000 + e3x = 0 + 14.57142857
e3x = 0 + 14.57142857

Combine like terms: 0 + 14.57142857 = 14.57142857
e3x = 14.57142857

Divide each side by 'x'.
e3 = 14.57142857x-1

Simplifying
e3 = 14.57142857x-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 8x=-3+(-4)2 | | 4(-2p+8)=88 | | 93+1x=-9x+65 | | (3+y)(4y+7)=0 | | f(x)=-6x+20 | | 10a+(2a+1)=5a+2 | | letf(x)=-6x+20 | | -1x+87=91-3x | | f(1)=x^2+7x+10 | | 5p+-16=54 | | 8x+43=123 | | 5p-1654= | | 5x+4=14x+x | | 27=p+9 | | 4+5x=3(-x+4)-48 | | 164=-2x+3(-3x+29) | | .07+.03(60)=.05(x+60) | | 5x+5-7x=15-2+10-10 | | x=7t+5 | | 2x+21=107 | | -4x+57=-13x+120 | | -4+57=-13+120 | | (k-2)(3k+8)=0 | | x^2+9x-4=.0 | | 3(y+2)=x-9 | | 5(1+c)=5(2+c) | | 3+2(x+1)=25 | | 118+2x+x+29.5=180 | | 90=2(10+x) | | -5x+125=125-15x | | S=64t-16 | | .06x+.12(3x+38000)=44460 |

Equations solver categories