5(x-3)=-2(x-4)+6

Simple and best practice solution for 5(x-3)=-2(x-4)+6 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-3)=-2(x-4)+6 equation:


Simplifying
5(x + -3) = -2(x + -4) + 6

Reorder the terms:
5(-3 + x) = -2(x + -4) + 6
(-3 * 5 + x * 5) = -2(x + -4) + 6
(-15 + 5x) = -2(x + -4) + 6

Reorder the terms:
-15 + 5x = -2(-4 + x) + 6
-15 + 5x = (-4 * -2 + x * -2) + 6
-15 + 5x = (8 + -2x) + 6

Reorder the terms:
-15 + 5x = 8 + 6 + -2x

Combine like terms: 8 + 6 = 14
-15 + 5x = 14 + -2x

Solving
-15 + 5x = 14 + -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.
-15 + 5x + 2x = 14 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-15 + 7x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 7x = 14 + 0
-15 + 7x = 14

Add '15' to each side of the equation.
-15 + 15 + 7x = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 14 + 15
7x = 14 + 15

Combine like terms: 14 + 15 = 29
7x = 29

Divide each side by '7'.
x = 4.142857143

Simplifying
x = 4.142857143

See similar equations:

| 69x+54=18 | | -2e^7v+5=-7 | | 5y+9=3+3y | | 41+3x-17+5x=24 | | -3t+108=0 | | 3x+4(3x-3)=8x-16 | | 1-4y=12 | | 3x+10=5x-16 | | F(x)=sen^32x | | x^4-x^2-9x+9=0 | | 9x+9-7x=8+8x+13 | | x^2-15x=-26 | | 8x+12y=499 | | 9x+20=7x+30 | | 5(x+4)+3(2x-1)=175 | | 2x+2=6x+12 | | 3z^2-19z+30=0 | | 2x-4x=12+16 | | a/7-a-5/2=3 | | 5/18x1/5 | | (5x-20)/[x^2-2x-8] | | (U-4)(u+3)= | | exp(-api/sqrt(1-a^2))=50 | | (-4-2)=1 | | 2-(3x-8)/5-(4x-9)=1/2 | | 5x^3+5(6x^3-5b^4)= | | 2g-=35 | | (x-2/3)-(x-8/4)=x-4/5 | | sinx/cscx-sinxcscx=cos^2x | | 5x+12=-27-8 | | 4.9=0.7b | | 7x-15=-50 |

Equations solver categories