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

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


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

Reorder the terms:
5(-5 + x) + 2(x + -1) = -2x
(-5 * 5 + x * 5) + 2(x + -1) = -2x
(-25 + 5x) + 2(x + -1) = -2x

Reorder the terms:
-25 + 5x + 2(-1 + x) = -2x
-25 + 5x + (-1 * 2 + x * 2) = -2x
-25 + 5x + (-2 + 2x) = -2x

Reorder the terms:
-25 + -2 + 5x + 2x = -2x

Combine like terms: -25 + -2 = -27
-27 + 5x + 2x = -2x

Combine like terms: 5x + 2x = 7x
-27 + 7x = -2x

Solving
-27 + 7x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-27 + 7x + 2x = -2x + 2x

Combine like terms: 7x + 2x = 9x
-27 + 9x = -2x + 2x

Combine like terms: -2x + 2x = 0
-27 + 9x = 0

Add '27' to each side of the equation.
-27 + 27 + 9x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 9x = 0 + 27
9x = 0 + 27

Combine like terms: 0 + 27 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

See similar equations:

| -81=27x | | 6=27-9y | | 25x^5+5x^5= | | 3x^2-48x+189= | | X=(55+4) | | 4x^3+24x^2-28x= | | 2x^2-41x+150=0 | | 9x+4.8=17.4 | | 4x^3-56x^2+192x= | | 3x^3-18x^2-72x+192=0 | | 10x^3-8x^2+14x= | | 2x+36=8x | | -3x^3+3x^2+126x= | | 3(x+2)-2(x-1)=12 | | x-3=8x+32 | | -5x^3-50x^2-120x= | | 4n+5+5n+10-2n-3= | | 14m-3(m-2)=5m+2-(m-1) | | 3(3x-1)+4(9-5x)=0 | | 8-x=2 | | 12x^2+30x=47 | | 3x^3-30x^2+27x= | | 127-(6x+14)=6(x+8)+x | | 7x+2=3x+14 | | 7x^2+6x+6=0 | | 4x^3-68x^2+280x= | | 2x=5+3x | | 2x^3+2x^2-84x= | | 36+3x^2=0 | | 7x-5=4+4x | | x^2=(1.5)(12) | | 3y+2x=4 |

Equations solver categories