2(x-3)=3(x-4)-10

Simple and best practice solution for 2(x-3)=3(x-4)-10 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)=3(x-4)-10 equation: 


Simplifying
2(x + -3) = 3(x + -4) + -10

Reorder the terms:
2(-3 + x) = 3(x + -4) + -10
(-3 * 2 + x * 2) = 3(x + -4) + -10
(-6 + 2x) = 3(x + -4) + -10

Reorder the terms:
-6 + 2x = 3(-4 + x) + -10
-6 + 2x = (-4 * 3 + x * 3) + -10
-6 + 2x = (-12 + 3x) + -10

Reorder the terms:
-6 + 2x = -12 + -10 + 3x

Combine like terms: -12 + -10 = -22
-6 + 2x = -22 + 3x

Solving
-6 + 2x = -22 + 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.
-6 + 2x + -3x = -22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -22 + 0
-6 + -1x = -22

Add '6' to each side of the equation.
-6 + 6 + -1x = -22 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -22 + 6
-1x = -22 + 6

Combine like terms: -22 + 6 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

See similar equations:

| 3(3n+6)=2n+18 | | 5(2g-7)=25 | | 5h=-35 | | -6-2r=-9-8-6r-5 | | 3(a-2)=2a-6+a | | 18x^2-50y^2=0 | | -7x+8+11=9 | | 7n+7=-13+8n+3n | | 3x-2=12-4x | | 20+5y=240-6y | | -8(2p+8)-2(6-3p)=-66 | | y=-4cos(2x/4) | | -x+1+9=-7 | | (q+7)(q+7)+3=52 | | 1.25x+17=41 | | -6(2-3a)-3(4-2a)=-72 | | 9x-2+5=10 | | X^3+2x=16x+32 | | 7-3x+9=1 | | (1/4)=(1/2)^x | | 2X-3X=63 | | -x-7=25 | | 2-x-7-10=-9 | | x^2+y^2-2x+4y+10=0 | | -3k+7(4-2k)=164 | | 4(2.25+3.1)-2.75w=44.9 | | -a+11=17 | | 0.75x+6=9 | | x(x+13)=-30 | | 5-x-1=-3 | | x(x+8)=-12 | | 3+2(6v-6)=87 |

Equations solver categories