2(4x+3)=-3(x-1)+25

Solution for 2(4x+3)=-3(x-1)+25 equation:

Simplifying
2(4x + 3) = -3(x + -1) + 25

Reorder the terms:
2(3 + 4x) = -3(x + -1) + 25
(3 * 2 + 4x * 2) = -3(x + -1) + 25
(6 + 8x) = -3(x + -1) + 25

Reorder the terms:
6 + 8x = -3(-1 + x) + 25
6 + 8x = (-1 * -3 + x * -3) + 25
6 + 8x = (3 + -3x) + 25

Reorder the terms:
6 + 8x = 3 + 25 + -3x

Combine like terms: 3 + 25 = 28
6 + 8x = 28 + -3x

Solving
6 + 8x = 28 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 8x + 3x = 28 + -3x + 3x

Combine like terms: 8x + 3x = 11x
6 + 11x = 28 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 11x = 28 + 0
6 + 11x = 28

Add '-6' to each side of the equation.
6 + -6 + 11x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 28 + -6
11x = 28 + -6

Combine like terms: 28 + -6 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2