5(X-6)+17=2(X-5)

Simple and best practice solution for 5(X-6)+17=2(X-5) 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-6)+17=2(X-5) equation:


Simplifying
5(X + -6) + 17 = 2(X + -5)

Reorder the terms:
5(-6 + X) + 17 = 2(X + -5)
(-6 * 5 + X * 5) + 17 = 2(X + -5)
(-30 + 5X) + 17 = 2(X + -5)

Reorder the terms:
-30 + 17 + 5X = 2(X + -5)

Combine like terms: -30 + 17 = -13
-13 + 5X = 2(X + -5)

Reorder the terms:
-13 + 5X = 2(-5 + X)
-13 + 5X = (-5 * 2 + X * 2)
-13 + 5X = (-10 + 2X)

Solving
-13 + 5X = -10 + 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.
-13 + 5X + -2X = -10 + 2X + -2X

Combine like terms: 5X + -2X = 3X
-13 + 3X = -10 + 2X + -2X

Combine like terms: 2X + -2X = 0
-13 + 3X = -10 + 0
-13 + 3X = -10

Add '13' to each side of the equation.
-13 + 13 + 3X = -10 + 13

Combine like terms: -13 + 13 = 0
0 + 3X = -10 + 13
3X = -10 + 13

Combine like terms: -10 + 13 = 3
3X = 3

Divide each side by '3'.
X = 1

Simplifying
X = 1

See similar equations:

| 2x^2-5x+12=0 | | m^2+22=-22m | | m^3+22=-22m | | M^2+22=-23m | | 8n+1-6=5+2n-18 | | -3(x-5)+x=45 | | 2x^4-11x^3+23x^2-19x+5=0 | | 7a+6b+3a= | | 5(y-7)=80 | | 17y+63-2y=7x-18+8y | | y-4=2(1) | | y-4x=32 | | -20x+(-25)+2x+3-14=(-20x+2x)+(-25+3-14) | | y-4=2(0) | | y-4=2(-1) | | 79=6t+7 | | 11b+5.2=17(b-1) | | 14k+16k+88=163 | | 3x^2=-9x | | 3y-2+y+30=6y+30-4y | | 2x-4y=6 | | 5x+53=19x+29 | | 8x^2-3x+j=0 | | 5(t-4)+6(t-5)=-83 | | 3(y-5)+4(y+4)-10=19 | | 7x^3+49x^2+7x+49= | | t^2+2r=24 | | X^2-5x+12=0 | | 175=97+x+y | | 2x^2-7x=30 | | -1/2+x+2/3=-5/6 | | .6(32-p)=p |

Equations solver categories