3(2x+3)+2(x+1)=5(x+7)

Simple and best practice solution for 3(2x+3)+2(x+1)=5(x+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 3(2x+3)+2(x+1)=5(x+7) equation:


Simplifying
3(2x + 3) + 2(x + 1) = 5(x + 7)

Reorder the terms:
3(3 + 2x) + 2(x + 1) = 5(x + 7)
(3 * 3 + 2x * 3) + 2(x + 1) = 5(x + 7)
(9 + 6x) + 2(x + 1) = 5(x + 7)

Reorder the terms:
9 + 6x + 2(1 + x) = 5(x + 7)
9 + 6x + (1 * 2 + x * 2) = 5(x + 7)
9 + 6x + (2 + 2x) = 5(x + 7)

Reorder the terms:
9 + 2 + 6x + 2x = 5(x + 7)

Combine like terms: 9 + 2 = 11
11 + 6x + 2x = 5(x + 7)

Combine like terms: 6x + 2x = 8x
11 + 8x = 5(x + 7)

Reorder the terms:
11 + 8x = 5(7 + x)
11 + 8x = (7 * 5 + x * 5)
11 + 8x = (35 + 5x)

Solving
11 + 8x = 35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 8x + -5x = 35 + 5x + -5x

Combine like terms: 8x + -5x = 3x
11 + 3x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 3x = 35 + 0
11 + 3x = 35

Add '-11' to each side of the equation.
11 + -11 + 3x = 35 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 35 + -11
3x = 35 + -11

Combine like terms: 35 + -11 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

See similar equations:

| 3(4x+1)+2(1-5x)=2x | | k^2=36 | | 5x-9=3+2x | | -7v^2=252 | | 19=-9w+-5+6w | | 19=-9w-5 | | 10a-35=10 | | Cos(6x-5)=sin(3a+10) | | -5x+20+3x=38 | | -11.2+4(2.1+9)=-6.8 | | z=ln(xlny) | | (t+2)2=7 | | 2(x-10)=90+3x-10 | | D*4=-4 | | 2(x-10)3x-10=90 | | T=.15(45)+45 | | 8x^2-50*x+50=0 | | T=.15d+d | | 3x-10=90(2x-10) | | 4x-[2x-(3x-1)]=6-2x | | 2x^2+8x=204 | | 3n+18=2n+22 | | kx^2-(k-4)x+22=0 | | 16+x/3=54 | | 23-5k=-4k | | 3-6y+5=4y+12-6y | | -24X^2+24X-6=0 | | 5x+12x+7=0 | | (4c-12)+2c+6=26 | | 10n^2-2n+8=0 | | 3(4z+11)= | | 2s+4s+5s+3s+4s=54 |

Equations solver categories