2(4x+5)-3x=3(x-2)+8

Simple and best practice solution for 2(4x+5)-3x=3(x-2)+8 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(4x+5)-3x=3(x-2)+8 equation:


Simplifying
2(4x + 5) + -3x = 3(x + -2) + 8

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

Combine like terms: 8x + -3x = 5x
10 + 5x = 3(x + -2) + 8

Reorder the terms:
10 + 5x = 3(-2 + x) + 8
10 + 5x = (-2 * 3 + x * 3) + 8
10 + 5x = (-6 + 3x) + 8

Reorder the terms:
10 + 5x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
10 + 5x = 2 + 3x

Solving
10 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 2 + 0
10 + 2x = 2

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

Combine like terms: 10 + -10 = 0
0 + 2x = 2 + -10
2x = 2 + -10

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

See similar equations:

| 2+3m=17 | | -5.6=-0.8x | | 8k-21=75 | | 7n-6n=8+19 | | 2(3x-1)=-3(x+5) | | 56w^2-23w=63 | | 1+16=3x | | 50w^2-23w=63 | | 15-4y= | | 3x+16=3x | | 45x=60 | | 5x-6+2x+8-3x-10=4x-2+5x+4+7x-7 | | -3(5-2y)=11 | | 5x-6+2x+8-3x-10=4x-2+4+7x-7 | | 9x-5x-2x=12 | | 3n+7=5n-9 | | 19+6=18 | | 9=4-x | | e-(-73)=27 | | 6+32-W=-10 | | 8a-4(-5a-2)=12 | | 2y-9=11y+9 | | e-(-73)= | | 3x^2-9x-8=0 | | 42=-14p | | 3x-2+2x+8=4x-2+5x-2 | | 4w^2+25w+36=0 | | 3x+x-5=1 | | 1.2n+3.6=14.4 | | 0.4m-2.7=11.7 | | 10f-0.5=22.5 | | 3x+5=5(x+8) |

Equations solver categories