2(x+17)=3(x+14)

Solution for 2(x+17)=3(x+14) equation:

Simplifying
2(x + 17) = 3(x + 14)

Reorder the terms:
2(17 + x) = 3(x + 14)
(17 * 2 + x * 2) = 3(x + 14)
(34 + 2x) = 3(x + 14)

Reorder the terms:
34 + 2x = 3(14 + x)
34 + 2x = (14 * 3 + x * 3)
34 + 2x = (42 + 3x)

Solving
34 + 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.
34 + 2x + -3x = 42 + 3x + -3x

Combine like terms: 2x + -3x = -1x
34 + -1x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
34 + -1x = 42 + 0
34 + -1x = 42

Add '-34' to each side of the equation.
34 + -34 + -1x = 42 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 42 + -34
-1x = 42 + -34

Combine like terms: 42 + -34 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8