2(2x+3)=5.2(x+1)

Solution for 2(2x+3)=5.2(x+1) equation:

Simplifying
2(2x + 3) = 5.2(x + 1)

Reorder the terms:
2(3 + 2x) = 5.2(x + 1)
(3 * 2 + 2x * 2) = 5.2(x + 1)
(6 + 4x) = 5.2(x + 1)

Reorder the terms:
6 + 4x = 5.2(1 + x)
6 + 4x = (1 * 5.2 + x * 5.2)
6 + 4x = (5.2 + 5.2x)

Solving
6 + 4x = 5.2 + 5.2x

Solving for variable 'x'.

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

Add '-5.2x' to each side of the equation.
6 + 4x + -5.2x = 5.2 + 5.2x + -5.2x

Combine like terms: 4x + -5.2x = -1.2x
6 + -1.2x = 5.2 + 5.2x + -5.2x

Combine like terms: 5.2x + -5.2x = 0.0
6 + -1.2x = 5.2 + 0.0
6 + -1.2x = 5.2

Add '-6' to each side of the equation.
6 + -6 + -1.2x = 5.2 + -6

Combine like terms: 6 + -6 = 0
0 + -1.2x = 5.2 + -6
-1.2x = 5.2 + -6

Combine like terms: 5.2 + -6 = -0.8
-1.2x = -0.8

Divide each side by '-1.2'.
x = 0.6666666667

Simplifying
x = 0.6666666667