3(x-2)+4x=1(x+1)

Solution for 3(x-2)+4x=1(x+1) equation:

Simplifying
3(x + -2) + 4x = 1(x + 1)

Reorder the terms:
3(-2 + x) + 4x = 1(x + 1)
(-2 * 3 + x * 3) + 4x = 1(x + 1)
(-6 + 3x) + 4x = 1(x + 1)

Combine like terms: 3x + 4x = 7x
-6 + 7x = 1(x + 1)

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

Solving
-6 + 7x = 1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 7x + -1x = 1 + 1x + -1x

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

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

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

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

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

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667