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

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


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

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

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

Combine like terms: -5 + 3 = -2
-2 + 5x = 3x + -2(3 + -2x)
-2 + 5x = 3x + (3 * -2 + -2x * -2)
-2 + 5x = 3x + (-6 + 4x)

Reorder the terms:
-2 + 5x = -6 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 5x = -6 + 7x

Solving
-2 + 5x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 5x + -7x = -6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-2 + -2x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -2x = -6 + 0
-2 + -2x = -6

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

Combine like terms: -2 + 2 = 0
0 + -2x = -6 + 2
-2x = -6 + 2

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

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

Simplifying
x = 2

See similar equations:

| 10-2x=8x-5(4-x) | | -4d+1=-15 | | 14-4x=6x-2(5-x) | | 13=6b+19 | | -7x+4x=9 | | 3r=10-r | | 11(c-8)=-2(11-4c) | | -1=-5u | | 5x-7=6x | | -9=2x | | 2h+1.5m=2.5h+m | | 7x-25=4x+50 | | -99+11x=29+3x | | 4y-16+8y=-14 | | 4x-97=10x+29 | | -3x-14=10-4x | | 3x-165=96+6x | | -57+7x=-2x+87 | | 9(2x+5)+6=6+3x | | -10x-39=-6x+49 | | -29-6x=25-8x | | 4-x=9 | | -133+12x=139-4x | | 3(x+2)-2(2x-4)=28 | | 12-x=3 | | 7(s+18)=21(s-14) | | 18b=14(b+2) | | 20+x=4+2x | | -3(7n-6)+3n= | | X-5=30 | | -4+11=-7x-7x | | 6m=2(8m+30) |

Equations solver categories