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

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


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

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

Reorder the terms:
3 + 12x = 7 + -5(-3 + 4x)
3 + 12x = 7 + (-3 * -5 + 4x * -5)
3 + 12x = 7 + (15 + -20x)

Combine like terms: 7 + 15 = 22
3 + 12x = 22 + -20x

Solving
3 + 12x = 22 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
3 + 12x + 20x = 22 + -20x + 20x

Combine like terms: 12x + 20x = 32x
3 + 32x = 22 + -20x + 20x

Combine like terms: -20x + 20x = 0
3 + 32x = 22 + 0
3 + 32x = 22

Add '-3' to each side of the equation.
3 + -3 + 32x = 22 + -3

Combine like terms: 3 + -3 = 0
0 + 32x = 22 + -3
32x = 22 + -3

Combine like terms: 22 + -3 = 19
32x = 19

Divide each side by '32'.
x = 0.59375

Simplifying
x = 0.59375

See similar equations:

| 3a+5=4a+1 | | 4-10x=-6 | | 4(4k+1)-8(k-1)= | | 4(4k+1)= | | 18=8y-16 | | x-25=.75x | | 18=-2v-2 | | 3[2x-(5x+2)]+1=3x-9(x-3) | | -5.8v+0.7=-5.1 | | -5.8+0.7=-5.1 | | 0.5x^2-3x-0.5=0 | | -4-28=-58-r | | -4r-28=-58-r | | -7a+5+8a=5-29 | | 6x+30-6x-30=0 | | 6x+24=(6x+24) | | -7(2x+4)= | | -2x^2=-5x+15 | | 72+(x-2)+x=180 | | 2x^2+4x-160=0 | | 69-2x=25x+21 | | 5-9x=18-16x | | 15-(-3X)+8x-(-10)= | | 5s^2=8s | | 5x^2*6x= | | 5x+10=110-5x | | 6n=18-n | | (s-5)(s-5)=0 | | -11+19=-4(x+9) | | 16b^2+8b+1=0 | | 9r^2-64p^2=0 | | 6.0=-0.8x |

Equations solver categories