12-2(x^2-2x*1+1)=4(x-2)-(x-3)(2x-5)

Simple and best practice solution for 12-2(x^2-2x*1+1)=4(x-2)-(x-3)(2x-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 12-2(x^2-2x*1+1)=4(x-2)-(x-3)(2x-5) equation:


Simplifying
12 + -2(x2 + -2x * 1 + 1) = 4(x + -2) + -1(x + -3)(2x + -5)

Reorder the terms for easier multiplication:
12 + -2(x2 + -2 * 1x + 1) = 4(x + -2) + -1(x + -3)(2x + -5)

Multiply -2 * 1
12 + -2(x2 + -2x + 1) = 4(x + -2) + -1(x + -3)(2x + -5)

Reorder the terms:
12 + -2(1 + -2x + x2) = 4(x + -2) + -1(x + -3)(2x + -5)
12 + (1 * -2 + -2x * -2 + x2 * -2) = 4(x + -2) + -1(x + -3)(2x + -5)
12 + (-2 + 4x + -2x2) = 4(x + -2) + -1(x + -3)(2x + -5)

Combine like terms: 12 + -2 = 10
10 + 4x + -2x2 = 4(x + -2) + -1(x + -3)(2x + -5)

Reorder the terms:
10 + 4x + -2x2 = 4(-2 + x) + -1(x + -3)(2x + -5)
10 + 4x + -2x2 = (-2 * 4 + x * 4) + -1(x + -3)(2x + -5)
10 + 4x + -2x2 = (-8 + 4x) + -1(x + -3)(2x + -5)

Reorder the terms:
10 + 4x + -2x2 = -8 + 4x + -1(-3 + x)(2x + -5)

Reorder the terms:
10 + 4x + -2x2 = -8 + 4x + -1(-3 + x)(-5 + 2x)

Multiply (-3 + x) * (-5 + 2x)
10 + 4x + -2x2 = -8 + 4x + -1(-3(-5 + 2x) + x(-5 + 2x))
10 + 4x + -2x2 = -8 + 4x + -1((-5 * -3 + 2x * -3) + x(-5 + 2x))
10 + 4x + -2x2 = -8 + 4x + -1((15 + -6x) + x(-5 + 2x))
10 + 4x + -2x2 = -8 + 4x + -1(15 + -6x + (-5 * x + 2x * x))
10 + 4x + -2x2 = -8 + 4x + -1(15 + -6x + (-5x + 2x2))

Combine like terms: -6x + -5x = -11x
10 + 4x + -2x2 = -8 + 4x + -1(15 + -11x + 2x2)
10 + 4x + -2x2 = -8 + 4x + (15 * -1 + -11x * -1 + 2x2 * -1)
10 + 4x + -2x2 = -8 + 4x + (-15 + 11x + -2x2)

Reorder the terms:
10 + 4x + -2x2 = -8 + -15 + 4x + 11x + -2x2

Combine like terms: -8 + -15 = -23
10 + 4x + -2x2 = -23 + 4x + 11x + -2x2

Combine like terms: 4x + 11x = 15x
10 + 4x + -2x2 = -23 + 15x + -2x2

Add '2x2' to each side of the equation.
10 + 4x + -2x2 + 2x2 = -23 + 15x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
10 + 4x + 0 = -23 + 15x + -2x2 + 2x2
10 + 4x = -23 + 15x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
10 + 4x = -23 + 15x + 0
10 + 4x = -23 + 15x

Solving
10 + 4x = -23 + 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.
10 + 4x + -15x = -23 + 15x + -15x

Combine like terms: 4x + -15x = -11x
10 + -11x = -23 + 15x + -15x

Combine like terms: 15x + -15x = 0
10 + -11x = -23 + 0
10 + -11x = -23

Add '-10' to each side of the equation.
10 + -10 + -11x = -23 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -23 + -10
-11x = -23 + -10

Combine like terms: -23 + -10 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

See similar equations:

| 17.5=7w | | (-11)+x=-28 | | X-1/4(2x+15)=3/4 | | -3(y-1)+12=x | | 5x+15=9x+4 | | 7+4a=2a | | 3x+25=15x-93 | | 7(x+2)-5x= | | 3x+7y=52 | | 2/510/3 | | 3=z-5 | | u/0.3=4u+6.28 | | x/8=y+7 | | Y/5-3=7 | | x/2-1=x/8-7 | | 13-4d=49-7d | | 2/x+1=8/x+7 | | 6t-88=32-2t | | 4+y/7=9 | | 15d-16=7d+32 | | 6r+5=8(r+2) | | x+3.5=5 | | 11x-4y=33 | | (1/3)x=1077 | | 12c+17=8c+49 | | m+24/5=7/19 | | 2=u+5 | | 124-3x=42x+19 | | 77-6x=9x+7 | | 3b-25=9b+11 | | 11/13=u/4 | | y=3/4x+4 |

Equations solver categories