2(4x+3)=7(x-3)

Solution for 2(4x+3)=7(x-3) equation:

Simplifying
2(4x + 3) = 7(x + -3)

Reorder the terms:
2(3 + 4x) = 7(x + -3)
(3 * 2 + 4x * 2) = 7(x + -3)
(6 + 8x) = 7(x + -3)

Reorder the terms:
6 + 8x = 7(-3 + x)
6 + 8x = (-3 * 7 + x * 7)
6 + 8x = (-21 + 7x)

Solving
6 + 8x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 8x + -7x = -21 + 7x + -7x

Combine like terms: 8x + -7x = 1x
6 + 1x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 1x = -21 + 0
6 + 1x = -21

Add '-6' to each side of the equation.
6 + -6 + 1x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -21 + -6
1x = -21 + -6

Combine like terms: -21 + -6 = -27
1x = -27

Divide each side by '1'.
x = -27

Simplifying
x = -27