3x+2(7x-3)=5x-2(7x+3)

Solution for 3x+2(7x-3)=5x-2(7x+3) equation:

Simplifying
3x + 2(7x + -3) = 5x + -2(7x + 3)

Reorder the terms:
3x + 2(-3 + 7x) = 5x + -2(7x + 3)
3x + (-3 * 2 + 7x * 2) = 5x + -2(7x + 3)
3x + (-6 + 14x) = 5x + -2(7x + 3)

Reorder the terms:
-6 + 3x + 14x = 5x + -2(7x + 3)

Combine like terms: 3x + 14x = 17x
-6 + 17x = 5x + -2(7x + 3)

Reorder the terms:
-6 + 17x = 5x + -2(3 + 7x)
-6 + 17x = 5x + (3 * -2 + 7x * -2)
-6 + 17x = 5x + (-6 + -14x)

Reorder the terms:
-6 + 17x = -6 + 5x + -14x

Combine like terms: 5x + -14x = -9x
-6 + 17x = -6 + -9x

Add '6' to each side of the equation.
-6 + 6 + 17x = -6 + 6 + -9x

Combine like terms: -6 + 6 = 0
0 + 17x = -6 + 6 + -9x
17x = -6 + 6 + -9x

Combine like terms: -6 + 6 = 0
17x = 0 + -9x
17x = -9x

Solving
17x = -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
17x + 9x = -9x + 9x

Combine like terms: 17x + 9x = 26x
26x = -9x + 9x

Combine like terms: -9x + 9x = 0
26x = 0

Divide each side by '26'.
x = 0

Simplifying
x = 0