12(3x+4)-5(2x-7)=6x-17

Simple and best practice solution for 12(3x+4)-5(2x-7)=6x-17 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)-5(2x-7)=6x-17 equation:


Simplifying
12(3x + 4) + -5(2x + -7) = 6x + -17

Reorder the terms:
12(4 + 3x) + -5(2x + -7) = 6x + -17
(4 * 12 + 3x * 12) + -5(2x + -7) = 6x + -17
(48 + 36x) + -5(2x + -7) = 6x + -17

Reorder the terms:
48 + 36x + -5(-7 + 2x) = 6x + -17
48 + 36x + (-7 * -5 + 2x * -5) = 6x + -17
48 + 36x + (35 + -10x) = 6x + -17

Reorder the terms:
48 + 35 + 36x + -10x = 6x + -17

Combine like terms: 48 + 35 = 83
83 + 36x + -10x = 6x + -17

Combine like terms: 36x + -10x = 26x
83 + 26x = 6x + -17

Reorder the terms:
83 + 26x = -17 + 6x

Solving
83 + 26x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
83 + 26x + -6x = -17 + 6x + -6x

Combine like terms: 26x + -6x = 20x
83 + 20x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
83 + 20x = -17 + 0
83 + 20x = -17

Add '-83' to each side of the equation.
83 + -83 + 20x = -17 + -83

Combine like terms: 83 + -83 = 0
0 + 20x = -17 + -83
20x = -17 + -83

Combine like terms: -17 + -83 = -100
20x = -100

Divide each side by '20'.
x = -5

Simplifying
x = -5

See similar equations:

| 0.70x+.05(12-x)=.10(-98) | | 8(3x-7)=4(6x+1) | | -(5y+2)-(-4y-8)=0 | | -3p+8=5-(5p+6) | | -3p+8=5-(9p+4) | | (24a^6b^3)(4a^2b)= | | (-2b+1)(3b^2-4b+6)= | | 9x+14=4x+99 | | (10x^2-11x-6)(2x-3)= | | (10x^2-11x-6)= | | num=5+5*3 | | 3x+23=13x-87 | | 3x+23=13x-27 | | 4h-11=33 | | x+3x=76 | | 60-6x=3x+23 | | (2y+1)(5y-2)= | | 6-7x=196-42x | | (-3x^2)(5xy+4y)= | | 29.7+h=2.9 | | 4(t+3)=32 | | 1564+m=1642 | | -17+p=63 | | (3a-4a^2)-(-8a-8)= | | m+-3=-91 | | 2x^2+5x=25 | | (a^3b^5)(a^5b^4)= | | 4-(5x+9)+x= | | 6.2z+2.8=3.73 | | -6y+4=-8 | | a+15=-12 | | 2a+3= |

Equations solver categories