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

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


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

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

Reorder the terms:
-10 + 5x + -2(-3 + x) = 3
-10 + 5x + (-3 * -2 + x * -2) = 3
-10 + 5x + (6 + -2x) = 3

Reorder the terms:
-10 + 6 + 5x + -2x = 3

Combine like terms: -10 + 6 = -4
-4 + 5x + -2x = 3

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

Solving
-4 + 3x = 3

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 3 + 4
3x = 3 + 4

Combine like terms: 3 + 4 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

See similar equations:

| 5x+6=3(2x+1) | | 0=9x^2+20x+4 | | 0.5y-2=0.33y | | 3x-6-2x=2x+12 | | 4x^2-36+80= | | 7x+7=17+6x | | 2/3x-15=45 | | x=105.3+3.78 | | 5x-12=73 | | 3(x+.2)=2(x-.3)+5.2 | | 14x-28=8x+3-10 | | 10a-5+7a-91=4a+20 | | (24x^6y^3)^(1/3) | | 2x-15=10x+3 | | 3x+2y=500 | | 7a-3b+15=0 | | 3a=0.026 | | 4y-7y=8y | | 36a^3/18a^4x | | -6x-15=4x+8 | | x=0.956*428.294-.347(15.27) | | 20+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6= | | -1+8x+46-1+8x=180 | | (-7m^2+8n^2-4n)-[(8m^2-4m+3n)+(8m^2)+4n^2]= | | 3+0.33x=5 | | x=0.956*428.294-2.39(105.3) | | 11x+2+61=180 | | -2=4x+1 | | .5x*8=1 | | 15.27=.965*x-3.78(105.3) | | 5x+10+58+5x+10=180 | | -12x+20=2x-16 |

Equations solver categories