5x+2=x+6(x-3)

Simple and best practice solution for 5x+2=x+6(x-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 5x+2=x+6(x-3) equation:


Simplifying
5x + 2 = x + 6(x + -3)

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

Reorder the terms:
2 + 5x = x + 6(-3 + x)
2 + 5x = x + (-3 * 6 + x * 6)
2 + 5x = x + (-18 + 6x)

Reorder the terms:
2 + 5x = -18 + x + 6x

Combine like terms: x + 6x = 7x
2 + 5x = -18 + 7x

Solving
2 + 5x = -18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 5x + -7x = -18 + 7x + -7x

Combine like terms: 5x + -7x = -2x
2 + -2x = -18 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -2x = -18 + 0
2 + -2x = -18

Add '-2' to each side of the equation.
2 + -2 + -2x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -18 + -2
-2x = -18 + -2

Combine like terms: -18 + -2 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

See similar equations:

| -8+(c-2)=-3+2 | | -6(x+1)-11=24+7 | | 9(10x-5)=6 | | 4x-8+17x=16 | | 2a^2-6a=0 | | y^2-2y+11=0 | | 5+2695489649999666887433= | | 3k-15=16 | | .8t+.2(t-.4)=1.75 | | 9-5x=4x+27 | | 2x-10=-32 | | 15=-15-8w | | 64=t+7t | | -2x+8+6x=24 | | 2=-4x+6+3x | | 7t+2=51 | | 9x-2x+5=33 | | -16=2p+6p | | -6x+4=64 | | 6a+2a=16 | | 2x-18+8x=14 | | 3+5x+12=35 | | 42+7x=6-3x | | 2(11*X)+2(3*X)+2(11*3)=11*3*X | | -13+-3= | | (x-5)-(12-4x)=3-(3x-6) | | 27=9(y+5) | | -2(1-4x)+6(5x-3)=-20 | | 7(x+4)=14 | | -1/5(125-50x)=55 | | -x^6+2x^5-7x^4=0 | | 16x-3=32x+1 |

Equations solver categories