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

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


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

Reorder the terms:
3(-2 + x) + 5 = 2(5x + -4)
(-2 * 3 + x * 3) + 5 = 2(5x + -4)
(-6 + 3x) + 5 = 2(5x + -4)

Reorder the terms:
-6 + 5 + 3x = 2(5x + -4)

Combine like terms: -6 + 5 = -1
-1 + 3x = 2(5x + -4)

Reorder the terms:
-1 + 3x = 2(-4 + 5x)
-1 + 3x = (-4 * 2 + 5x * 2)
-1 + 3x = (-8 + 10x)

Solving
-1 + 3x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + 3x + -10x = -8 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-1 + -7x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -7x = -8 + 0
-1 + -7x = -8

Add '1' to each side of the equation.
-1 + 1 + -7x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -8 + 1
-7x = -8 + 1

Combine like terms: -8 + 1 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

See similar equations:

| -3x-2=4x-16 | | 9-10x=119-45x | | -8x=-10x+72 | | 3(n+1)=4(2n+1) | | -9-5x=9-7x | | 2x+1(105)=345 | | 2(x-7)-5(3x+4)=x-2(3x+21) | | 13-b+6=2-0.5b | | 1y+2x=345 | | n*6=102 | | x=172.5+-0.5y | | 3+5n-2=9n+10-3n | | n+40=56 | | 5-7x=153-35x | | 2x+1y=345 | | 3x+36=5x | | n^2=10 | | n-3=18 | | n*5=40 | | 4(3x+1)-5(12x+7)=17 | | 4(3x+5)= | | 4(x+3)=4 | | 2m-2=8-8m | | 6x=6x-8.3 | | 4x+7=36 | | 2x-3(-2x+4)=-13+x | | 5x+2x-4=4x+5 | | 2x-1=11x-37 | | 3(m+1)+2m=8 | | (2x+1)(x-4)=x | | 5y*4= | | -3x=78 |

Equations solver categories