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

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


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

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

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

Combine like terms: -10 + 3 = -7
-7 + 4x = (4x + -1) + -3(x + -5)

Reorder the terms:
-7 + 4x = (-1 + 4x) + -3(x + -5)

Remove parenthesis around (-1 + 4x)
-7 + 4x = -1 + 4x + -3(x + -5)

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

Reorder the terms:
-7 + 4x = -1 + 15 + 4x + -3x

Combine like terms: -1 + 15 = 14
-7 + 4x = 14 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-7 + 4x = 14 + 1x

Solving
-7 + 4x = 14 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 4x + -1x = 14 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
-7 + 3x = 14 + 0
-7 + 3x = 14

Add '7' to each side of the equation.
-7 + 7 + 3x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 14 + 7
3x = 14 + 7

Combine like terms: 14 + 7 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

See similar equations:

| -7+3.50-2.40= | | 8s-12=-2(-3s-13) | | 11t=-77 | | 2x=9x-7/2 | | (-4+6i)(2-i)(3+7i)= | | 2(3x-x+5)=3 | | 2x+2x+2=3x+2 | | 2x+2(x-1)=2x-25+3x | | 4-3(x+2)-8x=-13 | | -2/3(6x-9)+3(2x-3) | | 9-1/8 | | 14x-9y=26 | | (n/-1.8)=-2.1 | | 0.5m+1.50=13.50 | | x/4-4=6 | | 18+2(17f+14)=-7(-4f+8) | | 1=107 | | 2x^3-11x^2-12x+32=0 | | -13x-10=-36 | | (5+i)^2/3-1 | | 5y-5+y+9=7+8y+13-6y | | 10y+20=20y | | 8(5x-2)=-1/2(32+4x) | | -4z-10=-6(-2z+19)-8 | | 9-71/8 | | 2=107 | | -10=5m-10 | | 9+6y=8 | | x/3-3=-10 | | 1=82 | | 2-x/3=6 | | 2h+13=3+4h |

Equations solver categories