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

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


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

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

Reorder the terms:
-4 + 2x + 3(5 + x) = 2x + -2
-4 + 2x + (5 * 3 + x * 3) = 2x + -2
-4 + 2x + (15 + 3x) = 2x + -2

Reorder the terms:
-4 + 15 + 2x + 3x = 2x + -2

Combine like terms: -4 + 15 = 11
11 + 2x + 3x = 2x + -2

Combine like terms: 2x + 3x = 5x
11 + 5x = 2x + -2

Reorder the terms:
11 + 5x = -2 + 2x

Solving
11 + 5x = -2 + 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.
11 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
11 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 3x = -2 + 0
11 + 3x = -2

Add '-11' to each side of the equation.
11 + -11 + 3x = -2 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = -2 + -11
3x = -2 + -11

Combine like terms: -2 + -11 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

See similar equations:

| 25w^3+64w=-80w^2 | | 9m-12=-3 | | M+8m-12=-3 | | -11=-3+4y | | 6(x^2+2x)=2(3x^2+12) | | 4-3y-y=12 | | 14x^2+34x=-12 | | 6x+3+x=-39 | | b(20b-3)-2=0 | | 2n-0.73=5.27 | | 4n-0.56=7.44 | | 3n-0.46=2.54 | | y=-4x+8 | | 2n-0.34=3.66 | | 8r^2-2t=3 | | 14b+9=149 | | 121x=100x^3 | | 7(z-5)=4(z+8) | | 3x(x-5)-12p=2(8p+12) | | 0.5(t-6)=1 | | 6x-y=1 | | 162x^2-98=0 | | (3a-5b)(6)= | | 22z-13=163 | | 8x+35=-21 | | 3x^2-189=-6x | | 78=-9(2)-3(-56+12(2)) | | (-2y)(-6y^8)=0 | | 5x^2=-19x | | 6+x=y+4 | | 25w^2-90w+81=0 | | 4s^2+11s-3=0 |

Equations solver categories