4(3x+5)-6(3x-5)=11x+3(2x-7)

Simple and best practice solution for 4(3x+5)-6(3x-5)=11x+3(2x-7) 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 4(3x+5)-6(3x-5)=11x+3(2x-7) equation:


Simplifying
4(3x + 5) + -6(3x + -5) = 11x + 3(2x + -7)

Reorder the terms:
4(5 + 3x) + -6(3x + -5) = 11x + 3(2x + -7)
(5 * 4 + 3x * 4) + -6(3x + -5) = 11x + 3(2x + -7)
(20 + 12x) + -6(3x + -5) = 11x + 3(2x + -7)

Reorder the terms:
20 + 12x + -6(-5 + 3x) = 11x + 3(2x + -7)
20 + 12x + (-5 * -6 + 3x * -6) = 11x + 3(2x + -7)
20 + 12x + (30 + -18x) = 11x + 3(2x + -7)

Reorder the terms:
20 + 30 + 12x + -18x = 11x + 3(2x + -7)

Combine like terms: 20 + 30 = 50
50 + 12x + -18x = 11x + 3(2x + -7)

Combine like terms: 12x + -18x = -6x
50 + -6x = 11x + 3(2x + -7)

Reorder the terms:
50 + -6x = 11x + 3(-7 + 2x)
50 + -6x = 11x + (-7 * 3 + 2x * 3)
50 + -6x = 11x + (-21 + 6x)

Reorder the terms:
50 + -6x = -21 + 11x + 6x

Combine like terms: 11x + 6x = 17x
50 + -6x = -21 + 17x

Solving
50 + -6x = -21 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
50 + -6x + -17x = -21 + 17x + -17x

Combine like terms: -6x + -17x = -23x
50 + -23x = -21 + 17x + -17x

Combine like terms: 17x + -17x = 0
50 + -23x = -21 + 0
50 + -23x = -21

Add '-50' to each side of the equation.
50 + -50 + -23x = -21 + -50

Combine like terms: 50 + -50 = 0
0 + -23x = -21 + -50
-23x = -21 + -50

Combine like terms: -21 + -50 = -71
-23x = -71

Divide each side by '-23'.
x = 3.086956522

Simplifying
x = 3.086956522

See similar equations:

| 10y+10=5y+20 | | 18=24-3w | | 4=2v-10 | | 16+2u=56 | | 0.4x+0.96=2.96 | | X^2=7/4 | | -17/5= | | 13f+8=19f-17f-3 | | 120-40/7-5=x | | 3b+4=b+19 | | 4e-8=19 | | 4x-9=3(x+5) | | 4a=8-5a | | 7-16m=-20m-17 | | 0.9-0.45= | | 5=17-4n | | 4y+3=6y+8 | | 83-v=274 | | 8.2x-57.4=-24.6 | | 10v+5v=25 | | 15n-25n+8n=18 | | 4g-13=3 | | 3(4z+9)=20-7z | | 24-c=2(3) | | 8y-5y=-27 | | -12n-12=-11n | | (-4v+3)(8v+6)=0 | | 9400=10 | | 9y-4y-14=48.80 | | 8.2x-53.4=-24.6 | | (t)=4t+3t^3+2t-7 | | -28-3n=8+6n |

Equations solver categories