12(2x-3)-7(x-5)=5(3x+5)

Simple and best practice solution for 12(2x-3)-7(x-5)=5(3x+5) 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 12(2x-3)-7(x-5)=5(3x+5) equation:


Simplifying
12(2x + -3) + -7(x + -5) = 5(3x + 5)

Reorder the terms:
12(-3 + 2x) + -7(x + -5) = 5(3x + 5)
(-3 * 12 + 2x * 12) + -7(x + -5) = 5(3x + 5)
(-36 + 24x) + -7(x + -5) = 5(3x + 5)

Reorder the terms:
-36 + 24x + -7(-5 + x) = 5(3x + 5)
-36 + 24x + (-5 * -7 + x * -7) = 5(3x + 5)
-36 + 24x + (35 + -7x) = 5(3x + 5)

Reorder the terms:
-36 + 35 + 24x + -7x = 5(3x + 5)

Combine like terms: -36 + 35 = -1
-1 + 24x + -7x = 5(3x + 5)

Combine like terms: 24x + -7x = 17x
-1 + 17x = 5(3x + 5)

Reorder the terms:
-1 + 17x = 5(5 + 3x)
-1 + 17x = (5 * 5 + 3x * 5)
-1 + 17x = (25 + 15x)

Solving
-1 + 17x = 25 + 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.
-1 + 17x + -15x = 25 + 15x + -15x

Combine like terms: 17x + -15x = 2x
-1 + 2x = 25 + 15x + -15x

Combine like terms: 15x + -15x = 0
-1 + 2x = 25 + 0
-1 + 2x = 25

Add '1' to each side of the equation.
-1 + 1 + 2x = 25 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 25 + 1
2x = 25 + 1

Combine like terms: 25 + 1 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

See similar equations:

| -(6+a)=5a+12 | | r^4-4r^2-45=0 | | B=WS | | .5x+.4=.7x-.6 | | 3p+1.75=9.25 | | -12-2n=-7n-2 | | 15(3r+9)=12(4r-1) | | 14y+18=2y-2 | | (4x+1)=63 | | -2+8x=4+7x | | 7x+27=3x+7 | | 3x+2x+5=-20 | | 2(x+18)+2x=96 | | 7n+5=-4+8n+1-3n | | -3a=5a-8a | | 216=9w | | x(2x-4)=(2x+8)(x-3) | | 6-5x=-3x+7 | | 2(2x+4)-6=0 | | f(-8)=-8+6 | | 6(-9+4x)=18 | | x-7=1-x | | 6(2y-1)=-5(3y-15) | | -(-6y)= | | -25+-10=30 | | 69=-3(-5+6x) | | 2+14=n | | -2+5n=-3n+6n | | 16+3x+12=28 | | 8x-(4x+7)=8x-35 | | 15.24=5y+3.89 | | x+1.2x=18 |

Equations solver categories