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

Simple and best practice solution for -5(x+3)+7(x-1)=3(x-2)-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 -5(x+3)+7(x-1)=3(x-2)-2 equation:


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

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

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

Reorder the terms:
-15 + -7 + -5x + 7x = 3(x + -2) + -2

Combine like terms: -15 + -7 = -22
-22 + -5x + 7x = 3(x + -2) + -2

Combine like terms: -5x + 7x = 2x
-22 + 2x = 3(x + -2) + -2

Reorder the terms:
-22 + 2x = 3(-2 + x) + -2
-22 + 2x = (-2 * 3 + x * 3) + -2
-22 + 2x = (-6 + 3x) + -2

Reorder the terms:
-22 + 2x = -6 + -2 + 3x

Combine like terms: -6 + -2 = -8
-22 + 2x = -8 + 3x

Solving
-22 + 2x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-22 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-22 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + -1x = -8 + 0
-22 + -1x = -8

Add '22' to each side of the equation.
-22 + 22 + -1x = -8 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = -8 + 22
-1x = -8 + 22

Combine like terms: -8 + 22 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

See similar equations:

| 13/9÷1/2 | | 2m^2+2m+6=0 | | 3i+12x=4x-15i | | 3y=-9x+24 | | .85x=612 | | 5x=10x-20 | | -4+(-11x)+3x^2=0 | | B×1/2=14 | | 2(x-3)+7=13-4(x+6) | | -3n-4+9n=3 | | 5x^8-30x^7+20x^6=0 | | 12/7x-7=5 | | 6x-35=-1 | | 2(x-3)+7=13-4(x-6) | | 10x-5x+145=10x+80 | | f(t)=-16t+64t+80 | | y-3=-2+8 | | 2m-3=4m-7 | | 2.5x+12=99 | | secx-tans=0 | | 12w=27+9w | | 2x+4+3x=x-4 | | 2.5+12=99 | | 7.125=-log(x) | | 5x^4+3x^3+x^2+3x=0 | | 9x+9(x+24)=630 | | 9x=343 | | -3x-1=.16 | | 3x-(2x-5)=12-2(x+5) | | 15x^2-1-2=0 | | 3x^4-10x^3-10x^3+22x-5=0 | | -21=5y-6 |

Equations solver categories