3x-(2+x)=7(x-7)-13

Simple and best practice solution for 3x-(2+x)=7(x-7)-13 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 3x-(2+x)=7(x-7)-13 equation:


Simplifying
3x + -1(2 + x) = 7(x + -7) + -13
3x + (2 * -1 + x * -1) = 7(x + -7) + -13
3x + (-2 + -1x) = 7(x + -7) + -13

Reorder the terms:
-2 + 3x + -1x = 7(x + -7) + -13

Combine like terms: 3x + -1x = 2x
-2 + 2x = 7(x + -7) + -13

Reorder the terms:
-2 + 2x = 7(-7 + x) + -13
-2 + 2x = (-7 * 7 + x * 7) + -13
-2 + 2x = (-49 + 7x) + -13

Reorder the terms:
-2 + 2x = -49 + -13 + 7x

Combine like terms: -49 + -13 = -62
-2 + 2x = -62 + 7x

Solving
-2 + 2x = -62 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 2x + -7x = -62 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-2 + -5x = -62 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -5x = -62 + 0
-2 + -5x = -62

Add '2' to each side of the equation.
-2 + 2 + -5x = -62 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -62 + 2
-5x = -62 + 2

Combine like terms: -62 + 2 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

See similar equations:

| 30=3(x-20) | | 81x^2-13689=0 | | 14=-x+18 | | 6.25E-4= | | 6(x+1)=42 | | 84x^2-13689=0 | | x^4-15x^3+56x^2= | | y=12t^2-48t+55 | | 5d+4=4+-d | | -3+9(x-2)=14x+5-5x | | -8-9x^2=-548 | | 5(4x-2)+5=-1 | | 3/8y*5/6 | | 4(x-2)-2(x+1)=0 | | 7+4.9=15+7.6t | | 16x^2-4096=0 | | x^3+3x^2(-4x)(-12)=0 | | 5x^2=-63-52x | | 3m+15=3m+11 | | X/42=22 | | 5x+2=-4+3x+10 | | 5n=95 | | X-98=214 | | 195=13x | | X+4.4=0.2 | | 12790/-7625 | | 12790/185 | | 7-4.9=15+7.6 | | 9x+4=3x+14 | | 5r-1/5=4/6 | | Y=2E-8X^2 | | 5r1/5=4/5 |

Equations solver categories