2(x-5)-9=-3(x-4)

Simple and best practice solution for 2(x-5)-9=-3(x-4) 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-5)-9=-3(x-4) equation:


Simplifying
2(x + -5) + -9 = -3(x + -4)

Reorder the terms:
2(-5 + x) + -9 = -3(x + -4)
(-5 * 2 + x * 2) + -9 = -3(x + -4)
(-10 + 2x) + -9 = -3(x + -4)

Reorder the terms:
-10 + -9 + 2x = -3(x + -4)

Combine like terms: -10 + -9 = -19
-19 + 2x = -3(x + -4)

Reorder the terms:
-19 + 2x = -3(-4 + x)
-19 + 2x = (-4 * -3 + x * -3)
-19 + 2x = (12 + -3x)

Solving
-19 + 2x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-19 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-19 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-19 + 5x = 12 + 0
-19 + 5x = 12

Add '19' to each side of the equation.
-19 + 19 + 5x = 12 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 12 + 19
5x = 12 + 19

Combine like terms: 12 + 19 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

See similar equations:

| 2a+3c+5a-8c= | | 4(n+2)+6=22 | | 6x^2-54+30=0 | | 4+x=16-x | | fx=0.2x+12 | | 6+8(1+4r)=5(r-8) | | 4x^4+8x^2+140=0 | | 9m-20=43 | | 3xsquared-8x-3=0 | | 4x+5y=76 | | -8(1-3m)-6(m+5)=-74 | | (x-6+9)+(2x-19)=23 | | 5x-3+x=21 | | 2+x=7y | | 7x-8-x=4 | | x^2+6=46 | | 9(m-5)-8(m+2)=-61 | | 4x+13=-x+25 | | 4x^2-45x+116=0 | | 3(2x-5)=5(-4)+x+5 | | 50+5x+10x= | | -4+8(5n+4)=-9+3n | | -10(x+1)+5(3x-5)=4(x-6)+10 | | x-6+11x-19=23 | | 90=7n-15 | | 8(3x+7)+(4x+8)=316 | | 3x-5x-10=0 | | 3(n-2)-(5-4n)=6n | | 3x-1=x+8 | | -5(2c+3d)+3(-2c)-(-8d)= | | 8y+3-5y=8+2y+4 | | .5x+6=.5x+.25 |

Equations solver categories