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

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


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

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

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

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

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

Solving
15 + -3x = -4 + 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.
15 + -3x + -2x = -4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = -4 + 0
15 + -5x = -4

Add '-15' to each side of the equation.
15 + -15 + -5x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -4 + -15
-5x = -4 + -15

Combine like terms: -4 + -15 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

See similar equations:

| 6.3+2.1x=-8.7 | | (4x^2+3x+2)(2x^2-5x-6)= | | 1.5x+3.4=3.1x-3 | | 4(3x-7)=3(2x+9) | | 3+2(x+5)=3(x-2) | | 15x=13x-14 | | 2z-3= | | 0=(526.68)+(x)*(17) | | p(x)=2x^2-40x+30 | | y=-x^4+8x^2-16 | | 3x^2+16x+32=0 | | 5x+2(x+4)-13= | | 8x+50=2 | | 142*3+5x=1176 | | x+0.35x+0.1x=32 | | x+0.45x=32 | | 3a+7=-5ab+b | | x+0.4x=32 | | 0=(-8903.3)+(x)*(6) | | 6h=3h+9 | | 2x-6=.4 | | -2+3+2+3x=9 | | 0=(5)+(x)*(2) | | -2+3*2+3x=8 | | 8=x^4-2x^2 | | 20u-16-34=5u-1-7 | | q+2.7=-.09 | | P(20)=7k-56 | | x+18+3x-20=75 | | 11+(9+16)= | | (3x+2)+31=180 | | x-6+54=75 |

Equations solver categories