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

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


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

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

Remove parenthesis around (3 + 5x)
3 + 5x + -1(2x + -4) = (x + -2) + -1(x + 3)

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

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

Combine like terms: 3 + 4 = 7
7 + 5x + -2x = (x + -2) + -1(x + 3)

Combine like terms: 5x + -2x = 3x
7 + 3x = (x + -2) + -1(x + 3)

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

Remove parenthesis around (-2 + x)
7 + 3x = -2 + x + -1(x + 3)

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

Reorder the terms:
7 + 3x = -2 + -3 + x + -1x

Combine like terms: -2 + -3 = -5
7 + 3x = -5 + x + -1x

Combine like terms: x + -1x = 0
7 + 3x = -5 + 0
7 + 3x = -5

Solving
7 + 3x = -5

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -5 + -7
3x = -5 + -7

Combine like terms: -5 + -7 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

See similar equations:

| 0=x^2-5x+2 | | 31+2y-12=9y-11-2y | | -2b-b=-21 | | x^3+5x^2+5x-2= | | 45x^2-45x-20= | | n^2=7n | | -5(3+9x)=-330 | | 2(x-2)-x=5x+4(5-x) | | 0=x^4-3x^3+2x^2-7x-11 | | v^2-4v=32 | | 8r-5+7=12 | | 2y^2-xy=15 | | -81=-3(1-6x)-5x | | 2x-3=6x+5 | | 0=x^4-8x^2+5 | | 3a^2+7a=0 | | (-4x)=8 | | .7x-2.2=.6 | | 7f+16=3f+48 | | (x-1)+(x-2)-(x-3)=-4 | | 2x-3=6x-5 | | 3x^2+21x-30=0 | | 2(x+8)=32 | | 184=4(5k+6) | | -408=12(-9x+2) | | 6x-3=10-6(2-x) | | 2X^3-14X^2+24X=0 | | 4=2x+6 | | 4v+7(v-6)=-97 | | 18+4(3x-7)=-7 | | 2(y-3)-5y=-3(y+3) | | (x+1)(y+1)=2xy |

Equations solver categories