5(x-2)+3(x+1)=12-4x

Simple and best practice solution for 5(x-2)+3(x+1)=12-4x 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 5(x-2)+3(x+1)=12-4x equation:


Simplifying
5(x + -2) + 3(x + 1) = 12 + -4x

Reorder the terms:
5(-2 + x) + 3(x + 1) = 12 + -4x
(-2 * 5 + x * 5) + 3(x + 1) = 12 + -4x
(-10 + 5x) + 3(x + 1) = 12 + -4x

Reorder the terms:
-10 + 5x + 3(1 + x) = 12 + -4x
-10 + 5x + (1 * 3 + x * 3) = 12 + -4x
-10 + 5x + (3 + 3x) = 12 + -4x

Reorder the terms:
-10 + 3 + 5x + 3x = 12 + -4x

Combine like terms: -10 + 3 = -7
-7 + 5x + 3x = 12 + -4x

Combine like terms: 5x + 3x = 8x
-7 + 8x = 12 + -4x

Solving
-7 + 8x = 12 + -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.
-7 + 8x + 4x = 12 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-7 + 12x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-7 + 12x = 12 + 0
-7 + 12x = 12

Add '7' to each side of the equation.
-7 + 7 + 12x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 12 + 7
12x = 12 + 7

Combine like terms: 12 + 7 = 19
12x = 19

Divide each side by '12'.
x = 1.583333333

Simplifying
x = 1.583333333

See similar equations:

| 2w+2(w+15)=169 | | 10.9x+33.48=-9.1x+32.18 | | -30+x=x+10 | | (x-1)(x+1)+15=8x | | 4w+30=169 | | 6y-10=5y-4 | | 1/3y+2=-19 | | x^2-16-2=-30 | | 6x+23=-67-3x | | k^3+5k+3=0 | | 4r^2+16r=0 | | 15x+5=365 | | 5x+15=365 | | 5x-15=365 | | 15x-5=365 | | 8x-7-5x+10=-18 | | 8m-7+2m=10m-27 | | X(12+18)=4(12)+4(18) | | 3x+3-5x=12x+14 | | 4x+3=4(x+5) | | 3x^2+9x+6=6 | | 6x+7y=-19 | | 4x=-6y-6 | | k+4-2k+24=0 | | 2x=3x+y | | -3/4-5/8 | | X(6-x)(3x)=84 | | 4(5*1/20) | | 66=2x-.5x | | 4*2+2(3)-5= | | y+8-2y-40=0 | | solvex=y-10 |

Equations solver categories