3(4x+1)-5(3x-2)=9-7x

Simple and best practice solution for 3(4x+1)-5(3x-2)=9-7x 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 3(4x+1)-5(3x-2)=9-7x equation: 


Simplifying
3(4x + 1) + -5(3x + -2) = 9 + -7x

Reorder the terms:
3(1 + 4x) + -5(3x + -2) = 9 + -7x
(1 * 3 + 4x * 3) + -5(3x + -2) = 9 + -7x
(3 + 12x) + -5(3x + -2) = 9 + -7x

Reorder the terms:
3 + 12x + -5(-2 + 3x) = 9 + -7x
3 + 12x + (-2 * -5 + 3x * -5) = 9 + -7x
3 + 12x + (10 + -15x) = 9 + -7x

Reorder the terms:
3 + 10 + 12x + -15x = 9 + -7x

Combine like terms: 3 + 10 = 13
13 + 12x + -15x = 9 + -7x

Combine like terms: 12x + -15x = -3x
13 + -3x = 9 + -7x

Solving
13 + -3x = 9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
13 + -3x + 7x = 9 + -7x + 7x

Combine like terms: -3x + 7x = 4x
13 + 4x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
13 + 4x = 9 + 0
13 + 4x = 9

Add '-13' to each side of the equation.
13 + -13 + 4x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 9 + -13
4x = 9 + -13

Combine like terms: 9 + -13 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

See similar equations:

| 4a+(-6b)+(-12)= | | 4x+(3x+10)+2x+(x+20)=360 | | 4(x-3)-2x=x+5 | | 7x+85=8x+65 | | 4x=.333x+5 | | 3(2x-5)=51 | | 5x-1=53x-11 | | 36+c+2x=180 | | 4(2x+3)=5x+36 | | .1x=.4x-105000 | | 12a-5=8a+11 | | 4x+7=20x | | 7x-4=10x-10 | | 2x+7-8x=x-14 | | 180n=170n+360 | | -2(z+8)=6 | | 180n=160n+360 | | 7x+24+8x+17=180 | | ln(-7x)=0 | | k+5=-7 | | 49x^2+21x= | | -x+7=-43+4x | | 5x+49+3x+57=90 | | 0.1(x+80)+1.7x=89 | | 1-2k=x-2y | | -25=17+n | | 12(x+7)=-3(x+21) | | 6x+4=2x+92 | | 9x+10=62 | | (2m+6)+2m=30 | | -4(5k+5)=37-k | | 5x+7=3+2(4x+2)-3x |

Equations solver categories