3(4x-5)+2x-1=4(x+8)-3

Simple and best practice solution for 3(4x-5)+2x-1=4(x+8)-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-5)+2x-1=4(x+8)-3 equation:


Simplifying
3(4x + -5) + 2x + -1 = 4(x + 8) + -3

Reorder the terms:
3(-5 + 4x) + 2x + -1 = 4(x + 8) + -3
(-5 * 3 + 4x * 3) + 2x + -1 = 4(x + 8) + -3
(-15 + 12x) + 2x + -1 = 4(x + 8) + -3

Reorder the terms:
-15 + -1 + 12x + 2x = 4(x + 8) + -3

Combine like terms: -15 + -1 = -16
-16 + 12x + 2x = 4(x + 8) + -3

Combine like terms: 12x + 2x = 14x
-16 + 14x = 4(x + 8) + -3

Reorder the terms:
-16 + 14x = 4(8 + x) + -3
-16 + 14x = (8 * 4 + x * 4) + -3
-16 + 14x = (32 + 4x) + -3

Reorder the terms:
-16 + 14x = 32 + -3 + 4x

Combine like terms: 32 + -3 = 29
-16 + 14x = 29 + 4x

Solving
-16 + 14x = 29 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 14x + -4x = 29 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-16 + 10x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 10x = 29 + 0
-16 + 10x = 29

Add '16' to each side of the equation.
-16 + 16 + 10x = 29 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 29 + 16
10x = 29 + 16

Combine like terms: 29 + 16 = 45
10x = 45

Divide each side by '10'.
x = 4.5

Simplifying
x = 4.5

See similar equations:

| x^2-6x=7x | | 13x^2-15x-101=-1+3x^2 | | 5+65x=52x+14 | | 2x+5+3x+4=44 | | 12x+15y=2450 | | -7y=10-5x | | 5+11n=9n+5 | | 3x^3+5x^2-12x=0 | | (-3)(5)(-2)= | | 3w^2=1.2w | | 4y=-2x-3 | | 9+12x=-13+x | | 4x+24=24 | | 0.25x^2-4.5x+36.25=0 | | 7y-5x=10 | | 6-x=72 | | X^2-4x=-10 | | 12x+15=33456 | | x^2-2x-62= | | 4xsquared+27x+35=0 | | 5x-11=9x+5 | | 2x(x+4)=-3.5 | | (3x+1)(9x^2-3x+1)=0 | | -45t+7=32 | | (x-7)x^2-(x-y)10x=0 | | 36-2x=12-8x | | 2=-3x+29 | | 57z-5=185 | | 8a-a-a-a-a= | | 4x+7=-47-5x | | 5x-2x-x=20 | | 7(x+3)+4=2x+100 |

Equations solver categories