3(4x-5)-2=7-(2x-4)

Simple and best practice solution for 3(4x-5)-2=7-(2x-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(4x-5)-2=7-(2x-4) equation:


Simplifying
3(4x + -5) + -2 = 7 + -1(2x + -4)

Reorder the terms:
3(-5 + 4x) + -2 = 7 + -1(2x + -4)
(-5 * 3 + 4x * 3) + -2 = 7 + -1(2x + -4)
(-15 + 12x) + -2 = 7 + -1(2x + -4)

Reorder the terms:
-15 + -2 + 12x = 7 + -1(2x + -4)

Combine like terms: -15 + -2 = -17
-17 + 12x = 7 + -1(2x + -4)

Reorder the terms:
-17 + 12x = 7 + -1(-4 + 2x)
-17 + 12x = 7 + (-4 * -1 + 2x * -1)
-17 + 12x = 7 + (4 + -2x)

Combine like terms: 7 + 4 = 11
-17 + 12x = 11 + -2x

Solving
-17 + 12x = 11 + -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.
-17 + 12x + 2x = 11 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-17 + 14x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-17 + 14x = 11 + 0
-17 + 14x = 11

Add '17' to each side of the equation.
-17 + 17 + 14x = 11 + 17

Combine like terms: -17 + 17 = 0
0 + 14x = 11 + 17
14x = 11 + 17

Combine like terms: 11 + 17 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

See similar equations:

| 2(x-3)-(4x-5)= | | -r-1=-9 | | 5(1x+10)=-10 | | -(4x-3)-(-5x+6)= | | 12x+16=5x+184 | | (4x-8)+(5x-6)= | | -4(10+x)=-84 | | 2x-9-7x=-69 | | 5(3a+2)=3(2a+1) | | n^3-6n=-4 | | 6x-1+7x=155 | | -2-4k=-22 | | 3x-5=19-4x | | 6(2x+3)=4(2x+2) | | 15+1/2 | | (2x-8)+49+41=180 | | 1-2b=17 | | 5(3x+1)=3(3x-2) | | 9+1/2 | | -4a+4=-36 | | 5xy+3x^2y+2x=4 | | f(x)=(x-2)3+1 | | 10/2x=3/x+6 | | 4/(x-4)+2/(x+9)=16/(x-4)(x+9) | | 4/x-4+2/x+9=16/(x-4)(x+9) | | (5x-4)(x+7)= | | y-2=3/8(1) | | -3-5m=12 | | y-2=3/8(-1) | | 4:x=2:5 | | y+10=9/2(-10) | | 12+x=2(4+x) |

Equations solver categories