7(2x-3)-4(3x-5)=4+6x-13

Simple and best practice solution for 7(2x-3)-4(3x-5)=4+6x-13 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 7(2x-3)-4(3x-5)=4+6x-13 equation:


Simplifying
7(2x + -3) + -4(3x + -5) = 4 + 6x + -13

Reorder the terms:
7(-3 + 2x) + -4(3x + -5) = 4 + 6x + -13
(-3 * 7 + 2x * 7) + -4(3x + -5) = 4 + 6x + -13
(-21 + 14x) + -4(3x + -5) = 4 + 6x + -13

Reorder the terms:
-21 + 14x + -4(-5 + 3x) = 4 + 6x + -13
-21 + 14x + (-5 * -4 + 3x * -4) = 4 + 6x + -13
-21 + 14x + (20 + -12x) = 4 + 6x + -13

Reorder the terms:
-21 + 20 + 14x + -12x = 4 + 6x + -13

Combine like terms: -21 + 20 = -1
-1 + 14x + -12x = 4 + 6x + -13

Combine like terms: 14x + -12x = 2x
-1 + 2x = 4 + 6x + -13

Reorder the terms:
-1 + 2x = 4 + -13 + 6x

Combine like terms: 4 + -13 = -9
-1 + 2x = -9 + 6x

Solving
-1 + 2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-1 + -4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -4x = -9 + 0
-1 + -4x = -9

Add '1' to each side of the equation.
-1 + 1 + -4x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -9 + 1
-4x = -9 + 1

Combine like terms: -9 + 1 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

See similar equations:

| 16=2n+2 | | x^2+y^2+4x+2y+3=0 | | 8x+37=14x+15-8x | | 4(3x-2)=-2(x+4) | | 4a+10=2a-3 | | 9x-32=x | | 6=x-3 | | 5=b+6 | | Y=7x+5 | | 12(x+3)=15-4 | | 4x-85=-5x-4 | | 18+6(x-2)-2x=1 | | 2(x+4)+4x=2x-16 | | 5(x+2)-x=1 | | 1+3(x+2)=1 | | 1/4-5=x | | 11t=110 | | 7x+12+3x=-6(x-7)+9x | | 14-5=x | | 7y-4=15+3y | | 14x-5=x | | 9x-11=6x-3+x | | -6x^3y^3(3xy+5x^2y^3-2xy^2)= | | 15n-4=6 | | 4(x+2)+6=26 | | y-21=32 | | 4(t-6)+8t=6(2t+4)-11 | | 3x+10-4=21 | | p+6=18 | | -(4y+3)-(-3y-4)=-2 | | 2x+3=11-4x | | 6a-15=72 |

Equations solver categories