2(5x+3)-6(2x-1)=3(x+14)

Solution for 2(5x+3)-6(2x-1)=3(x+14) equation:

Simplifying
2(5x + 3) + -6(2x + -1) = 3(x + 14)

Reorder the terms:
2(3 + 5x) + -6(2x + -1) = 3(x + 14)
(3 * 2 + 5x * 2) + -6(2x + -1) = 3(x + 14)
(6 + 10x) + -6(2x + -1) = 3(x + 14)

Reorder the terms:
6 + 10x + -6(-1 + 2x) = 3(x + 14)
6 + 10x + (-1 * -6 + 2x * -6) = 3(x + 14)
6 + 10x + (6 + -12x) = 3(x + 14)

Reorder the terms:
6 + 6 + 10x + -12x = 3(x + 14)

Combine like terms: 6 + 6 = 12
12 + 10x + -12x = 3(x + 14)

Combine like terms: 10x + -12x = -2x
12 + -2x = 3(x + 14)

Reorder the terms:
12 + -2x = 3(14 + x)
12 + -2x = (14 * 3 + x * 3)
12 + -2x = (42 + 3x)

Solving
12 + -2x = 42 + 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.
12 + -2x + -3x = 42 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -5x = 42 + 0
12 + -5x = 42

Add '-12' to each side of the equation.
12 + -12 + -5x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 42 + -12
-5x = 42 + -12

Combine like terms: 42 + -12 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6