3(x-2)=7x-(x+1)

Solution for 3(x-2)=7x-(x+1) equation:

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

Reorder the terms:
3(-2 + x) = 7x + -1(x + 1)
(-2 * 3 + x * 3) = 7x + -1(x + 1)
(-6 + 3x) = 7x + -1(x + 1)

Reorder the terms:
-6 + 3x = 7x + -1(1 + x)
-6 + 3x = 7x + (1 * -1 + x * -1)
-6 + 3x = 7x + (-1 + -1x)

Reorder the terms:
-6 + 3x = -1 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 3x = -1 + 6x

Solving
-6 + 3x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -1 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -1 + 0
-6 + -3x = -1

Add '6' to each side of the equation.
-6 + 6 + -3x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -1 + 6
-3x = -1 + 6

Combine like terms: -1 + 6 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667