2(5x-3)=14x-78

Solution for 2(5x-3)=14x-78 equation:

Simplifying
2(5x + -3) = 14x + -78

Reorder the terms:
2(-3 + 5x) = 14x + -78
(-3 * 2 + 5x * 2) = 14x + -78
(-6 + 10x) = 14x + -78

Reorder the terms:
-6 + 10x = -78 + 14x

Solving
-6 + 10x = -78 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-6 + 10x + -14x = -78 + 14x + -14x

Combine like terms: 10x + -14x = -4x
-6 + -4x = -78 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + -4x = -78 + 0
-6 + -4x = -78

Add '6' to each side of the equation.
-6 + 6 + -4x = -78 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -78 + 6
-4x = -78 + 6

Combine like terms: -78 + 6 = -72
-4x = -72

Divide each side by '-4'.
x = 18

Simplifying
x = 18