4x+3(x+2)=5(2-3)

Solution for 4x+3(x+2)=5(2-3) equation:

Simplifying
4x + 3(x + 2) = 5(2 + -3)

Reorder the terms:
4x + 3(2 + x) = 5(2 + -3)
4x + (2 * 3 + x * 3) = 5(2 + -3)
4x + (6 + 3x) = 5(2 + -3)

Reorder the terms:
6 + 4x + 3x = 5(2 + -3)

Combine like terms: 4x + 3x = 7x
6 + 7x = 5(2 + -3)

Combine like terms: 2 + -3 = -1
6 + 7x = 5(-1)

Multiply 5 * -1
6 + 7x = -5

Solving
6 + 7x = -5

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -5 + -6
7x = -5 + -6

Combine like terms: -5 + -6 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571