3(x-2)+1=2(x-4)+13

Simple and best practice solution for 3(x-2)+1=2(x-4)+13 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(x-2)+1=2(x-4)+13 equation:


Simplifying
3(x + -2) + 1 = 2(x + -4) + 13

Reorder the terms:
3(-2 + x) + 1 = 2(x + -4) + 13
(-2 * 3 + x * 3) + 1 = 2(x + -4) + 13
(-6 + 3x) + 1 = 2(x + -4) + 13

Reorder the terms:
-6 + 1 + 3x = 2(x + -4) + 13

Combine like terms: -6 + 1 = -5
-5 + 3x = 2(x + -4) + 13

Reorder the terms:
-5 + 3x = 2(-4 + x) + 13
-5 + 3x = (-4 * 2 + x * 2) + 13
-5 + 3x = (-8 + 2x) + 13

Reorder the terms:
-5 + 3x = -8 + 13 + 2x

Combine like terms: -8 + 13 = 5
-5 + 3x = 5 + 2x

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

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

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

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

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

Combine like terms: 5 + 5 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

See similar equations:

| 7x*6=49 | | 8n-10=3n | | t=22-31 | | 4.5x+23x+x= | | 22+19= | | 6(8-x)=5 | | 7y-(4-2y)=3(y+3)+5 | | 3x^3+7x^2=4 | | 3(2x-1)=6(x+1) | | 4.5+23x+x= | | 5x+5=7x-25 | | 0.5x+.2y+x= | | .8m+8=12 | | 3x-10=4x-15 | | 7rs+2rs-15rs= | | 16(2y)=3y+6 | | 10x-3x+90=10x+45 | | n/3-582=n/6 | | 1.5t-1=1.7+-5 | | x+7x+12x=0 | | 3(2pq+3r)+4pq= | | 3x+4=-3x-20 | | (z-18)(z+15)=0 | | x+0.3(4)=0.8(x+4) | | 3x+4=-3x+20 | | 1.5t-1=1.7 | | 6.25x=68.75 | | x+5x=54 | | -28+6k=12+k | | 12.8-3.5t-0.6=2 | | 582+n/3=n/6 | | 6x-3=9x+9 |

Equations solver categories