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

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


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

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

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

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

Reorder the terms:
-6 + 5x = -6 + 2x + 4(-2 + x)
-6 + 5x = -6 + 2x + (-2 * 4 + x * 4)
-6 + 5x = -6 + 2x + (-8 + 4x)

Reorder the terms:
-6 + 5x = -6 + -8 + 2x + 4x

Combine like terms: -6 + -8 = -14
-6 + 5x = -14 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-6 + 5x = -14 + 6x

Solving
-6 + 5x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = -14 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -14 + 0
-6 + -1x = -14

Add '6' to each side of the equation.
-6 + 6 + -1x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -14 + 6
-1x = -14 + 6

Combine like terms: -14 + 6 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

See similar equations:

| 2n+1*3=1n-10 | | 2+x/2=20 | | .25x+40+.5x-10=180 | | -7y-10=2y+17 | | .25+40+.5-10=180 | | 4r^2-9r-28=0 | | 1+9=-5(5x-2) | | 4(9+w)=3(7+w) | | 4y-7+y+28=5y+30-3y | | a=.5h(c+d) | | 0.3x=2-x | | 6a-4b=7 | | ln(x-6)=2lnx | | -19(x+2)+6(4x-5)=4(x-4)+13 | | x^3-3x^2+3X+10=0 | | ln(6-x)=2lnx | | -0.10(30)+0.20x=0.05(x-18) | | y^7-5=4 | | (5y+7)-(6+4y)=11 | | n+(n+1)3=n-10 | | -1.2(y-3)=-.7(y-1) | | -70=7+7x | | 6-2x-2x=22 | | x=5+-6y | | -20=2n+8+2n | | 8(z-2)-(-3z-9)=10z | | 5x+5y=101 | | -4=5p-7p | | x+y=2a+2 | | -9y-8=0 | | 3x-6-3=6 | | x-2y=2b-y |

Equations solver categories