2(x+7)=5(3x-2)

Simple and best practice solution for 2(x+7)=5(3x-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+7)=5(3x-2) equation:


Simplifying
2(x + 7) = 5(3x + -2)

Reorder the terms:
2(7 + x) = 5(3x + -2)
(7 * 2 + x * 2) = 5(3x + -2)
(14 + 2x) = 5(3x + -2)

Reorder the terms:
14 + 2x = 5(-2 + 3x)
14 + 2x = (-2 * 5 + 3x * 5)
14 + 2x = (-10 + 15x)

Solving
14 + 2x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
14 + 2x + -15x = -10 + 15x + -15x

Combine like terms: 2x + -15x = -13x
14 + -13x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + -13x = -10 + 0
14 + -13x = -10

Add '-14' to each side of the equation.
14 + -14 + -13x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -13x = -10 + -14
-13x = -10 + -14

Combine like terms: -10 + -14 = -24
-13x = -24

Divide each side by '-13'.
x = 1.846153846

Simplifying
x = 1.846153846

See similar equations:

| cos(5*x)=5 | | 3(x+4)=-18x-9x+1 | | 3(4m+8)=4m-16 | | 5m-(1-m)=4m | | 6(x-2)-x=-22 | | 2t+10+4t-11= | | x(x)-x=20 | | 4a+2(r-4)= | | e^4x+6-8=0 | | (5x-3)-4=8 | | x-0.3*x=105000 | | x-0.3*x=63400 | | 3(4x+1)+x(4x+1)=0 | | (4x-3)2-16=0 | | 4x(x+6)-5(x+6)=0 | | 63x^3-228x^2+88x-8=0 | | 5x+20y=3.75 | | 15x-8=3x+5 | | 15x-8=3x+5x | | 7x+1=x-5 | | 9x+6x^2=0 | | x=18-x | | 34x+32y+19z=0 | | exp(6x+8)-3=0 | | 2y+x=-28 | | e^6x+8-3=0 | | 34x+32y+19z=x+y+z | | (x+y)-(34x+19y)=0 | | N=-16t^2+16t+96 | | f(x)=x^3-7x^2+36 | | 2n+3.9=7.1 | | x^2-2xy+y^2+3x-3y-10= |

Equations solver categories