3(2x-3)-4(x-7)=5(2x+3)

Simple and best practice solution for 3(2x-3)-4(x-7)=5(2x+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 3(2x-3)-4(x-7)=5(2x+3) equation:


Simplifying
3(2x + -3) + -4(x + -7) = 5(2x + 3)

Reorder the terms:
3(-3 + 2x) + -4(x + -7) = 5(2x + 3)
(-3 * 3 + 2x * 3) + -4(x + -7) = 5(2x + 3)
(-9 + 6x) + -4(x + -7) = 5(2x + 3)

Reorder the terms:
-9 + 6x + -4(-7 + x) = 5(2x + 3)
-9 + 6x + (-7 * -4 + x * -4) = 5(2x + 3)
-9 + 6x + (28 + -4x) = 5(2x + 3)

Reorder the terms:
-9 + 28 + 6x + -4x = 5(2x + 3)

Combine like terms: -9 + 28 = 19
19 + 6x + -4x = 5(2x + 3)

Combine like terms: 6x + -4x = 2x
19 + 2x = 5(2x + 3)

Reorder the terms:
19 + 2x = 5(3 + 2x)
19 + 2x = (3 * 5 + 2x * 5)
19 + 2x = (15 + 10x)

Solving
19 + 2x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + 2x + -10x = 15 + 10x + -10x

Combine like terms: 2x + -10x = -8x
19 + -8x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -8x = 15 + 0
19 + -8x = 15

Add '-19' to each side of the equation.
19 + -19 + -8x = 15 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = 15 + -19
-8x = 15 + -19

Combine like terms: 15 + -19 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

See similar equations:

| -900/2 | | 8s^2+3s-2=0 | | 16n+12+13n-2=31 | | -5(x+9)=20 | | 7n^2-5n-4=0 | | -16m^2+24m+16=0 | | -3f^2-4f+1=0 | | -40=8-8x | | X^2-kx+2k+5= | | 5x+y=45.25 | | 8.7x+27.62=11.3x+27.44 | | 4x+7(-2x+4)=-82 | | 20k+7-5+18=-5 | | 4x-(-3x+2)=7-2 | | X^2-kx+2k+5=0 | | 8q^3+6q^2-9q=0 | | t/1=15 | | 3p-1+9p+9= | | a/11=13 | | 3x+7y-5x-4y= | | Y(-7)=-12 | | 3r^2-4r=0 | | 99/108 | | 4q-6q= | | 34/85=25/75 | | 34/85 | | 3v-9-6v-3=18 | | -8w+18=-5(w-6) | | 9p-1s+4p-2s= | | 4h^2+6h=0 | | 7/x-2=8 | | 10.5/2500.0=2500.0/x |

Equations solver categories