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

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


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

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

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

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

Combine like terms: -12 + 5 = -7
-7 + 2 + 4x + -1x = 2(x + 4)

Combine like terms: -7 + 2 = -5
-5 + 4x + -1x = 2(x + 4)

Combine like terms: 4x + -1x = 3x
-5 + 3x = 2(x + 4)

Reorder the terms:
-5 + 3x = 2(4 + x)
-5 + 3x = (4 * 2 + x * 2)
-5 + 3x = (8 + 2x)

Solving
-5 + 3x = 8 + 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.
-5 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-5 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 1x = 8 + 0
-5 + 1x = 8

Add '5' to each side of the equation.
-5 + 5 + 1x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 8 + 5
1x = 8 + 5

Combine like terms: 8 + 5 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

See similar equations:

| 4x^4+2x^3+20x^2+10x=0 | | X^2(4+2i+i^2)=0 | | 4(x-3)-(X-5)=2(X+4) | | 28.75+5.75x=115 | | k^2+16k=-15 | | 78+96+xy=996 | | X^2+6x-4=-4 | | 8x^3-56x+48=0 | | 6.8=9.5-0.9x | | 5-(4x-6)=-37 | | 6y-3=31 | | 7x-9=2x+35 | | 27=-13b+b | | 1.36g-10=.20 | | 15+.75x=90 | | 2(x-5)=-5+2x+12 | | 8x-5(5x+6)=18 | | 3(7y-5)=2y+4 | | G(x)=4x+3x+1 | | 8*z*(z*z-3)=0 | | F(3a)=3x^2-2x+5 | | -4(r+8)=-65 | | 13-(2m+5)=5+3m-17 | | n/20-4=3 | | 6t-5=25+t | | -1-2x=2x-33 | | 8z(2z-3)=0 | | 3(3+4x)-1=56 | | 3*ln(x-4)=0 | | 15x=3.75*30 | | 4+7k=32 | | 40=x-42 |

Equations solver categories