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

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

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

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

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

Solving
3 + 3x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 4 + 0
3 + -1x = 4

Add '-3' to each side of the equation.
3 + -3 + -1x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 4 + -3
-1x = 4 + -3

Combine like terms: 4 + -3 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1