12(3x+4)-7(2x-7)=2x-23

Simple and best practice solution for 12(3x+4)-7(2x-7)=2x-23 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 12(3x+4)-7(2x-7)=2x-23 equation:


Simplifying
12(3x + 4) + -7(2x + -7) = 2x + -23

Reorder the terms:
12(4 + 3x) + -7(2x + -7) = 2x + -23
(4 * 12 + 3x * 12) + -7(2x + -7) = 2x + -23
(48 + 36x) + -7(2x + -7) = 2x + -23

Reorder the terms:
48 + 36x + -7(-7 + 2x) = 2x + -23
48 + 36x + (-7 * -7 + 2x * -7) = 2x + -23
48 + 36x + (49 + -14x) = 2x + -23

Reorder the terms:
48 + 49 + 36x + -14x = 2x + -23

Combine like terms: 48 + 49 = 97
97 + 36x + -14x = 2x + -23

Combine like terms: 36x + -14x = 22x
97 + 22x = 2x + -23

Reorder the terms:
97 + 22x = -23 + 2x

Solving
97 + 22x = -23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
97 + 22x + -2x = -23 + 2x + -2x

Combine like terms: 22x + -2x = 20x
97 + 20x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
97 + 20x = -23 + 0
97 + 20x = -23

Add '-97' to each side of the equation.
97 + -97 + 20x = -23 + -97

Combine like terms: 97 + -97 = 0
0 + 20x = -23 + -97
20x = -23 + -97

Combine like terms: -23 + -97 = -120
20x = -120

Divide each side by '20'.
x = -6

Simplifying
x = -6

See similar equations:

| 12r+4=67 | | 3x+3=3(x+5)-5 | | -53+53=-27p-15p | | 6x^3+27x^2+21x=0 | | 23x-5+21x+5=180 | | y=x^2+4x+9 | | 7+(8+2)=17 | | 7+(8+2)= | | -12=0.3x-0.7x | | (4y+4)-(2+3y)=7 | | y/1.03-0.06=1.04 | | x^2+29x+29=0 | | 18x^3-8x^2-14x=0 | | p^3+5p^2+11p+4=0 | | 7p^2-21p= | | 80+26x+2x^2=0 | | -243=-18x-9x | | 10(x+2)-8x=-(1-5x) | | 3b^2+20b+32=0 | | ab+ac+ad= | | -r-18r=171 | | x^2+80x+700=0 | | x^2+80+700=0 | | 5.9-(3x+2.5)=0.4x | | 7y-2y=15 | | -0.1x=0.15 | | (9x+8)(9x+8)= | | 19x+37y+16= | | 2log(x)-log(2x)=0 | | 9(p-2)=54 | | 1000*y=9.5233 | | 3.9*y=35.88 |

Equations solver categories