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

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


Simplifying
5(2x + -3) + 2(5 + -1x) = 3(x + 2)

Reorder the terms:
5(-3 + 2x) + 2(5 + -1x) = 3(x + 2)
(-3 * 5 + 2x * 5) + 2(5 + -1x) = 3(x + 2)
(-15 + 10x) + 2(5 + -1x) = 3(x + 2)
-15 + 10x + (5 * 2 + -1x * 2) = 3(x + 2)
-15 + 10x + (10 + -2x) = 3(x + 2)

Reorder the terms:
-15 + 10 + 10x + -2x = 3(x + 2)

Combine like terms: -15 + 10 = -5
-5 + 10x + -2x = 3(x + 2)

Combine like terms: 10x + -2x = 8x
-5 + 8x = 3(x + 2)

Reorder the terms:
-5 + 8x = 3(2 + x)
-5 + 8x = (2 * 3 + x * 3)
-5 + 8x = (6 + 3x)

Solving
-5 + 8x = 6 + 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.
-5 + 8x + -3x = 6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-5 + 5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 5x = 6 + 0
-5 + 5x = 6

Add '5' to each side of the equation.
-5 + 5 + 5x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 6 + 5
5x = 6 + 5

Combine like terms: 6 + 5 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

See similar equations:

| 12t^2-17t-14=0 | | y=10x-t | | -6/7x(-4)x5/3 | | (x-3)(x+3)(7x+11)= | | 4a=2a+4 | | y=0.2x+5 | | sin^2(2x)=0.4 | | sin^22x=0.4 | | 2(3x-1)=14 | | 2n*2+7n-5=2n*2-3n+10 | | f(x)=9xIn(5x)-9x | | 15x^2+18x+73= | | 23m+5-7m=m-19 | | 1.3d+8=1.6d-2 | | 9/1700 | | 1700/9 | | 18+3x=-9 | | 80+40w=480 | | h-1/2=12 | | 47-10+8c=117 | | 2b^2-11bc+5c^2= | | 4.4*x=40.04 | | ktimes-5=-3 | | 3n^2-36+108=0 | | [5-(10-5)]= | | 3x-3(x^2+5)=5x(x+5)-9 | | 20n^2-20n+50=0 | | 20n-20n+50=0 | | x/6-5=25 | | B/1.6=0.32 | | 0.8x-6=2.3x-15 | | -1/22x=0x |

Equations solver categories