3(2-5x)+x=3*7(2x-9)

Solution for 3(2-5x)+x=3*7(2x-9) equation:

Simplifying
3(2 + -5x) + x = 3 * 7(2x + -9)
(2 * 3 + -5x * 3) + x = 3 * 7(2x + -9)
(6 + -15x) + x = 3 * 7(2x + -9)

Combine like terms: -15x + x = -14x
6 + -14x = 3 * 7(2x + -9)

Reorder the terms:
6 + -14x = 3 * 7(-9 + 2x)

Multiply 3 * 7
6 + -14x = 21(-9 + 2x)
6 + -14x = (-9 * 21 + 2x * 21)
6 + -14x = (-189 + 42x)

Solving
6 + -14x = -189 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
6 + -14x + -42x = -189 + 42x + -42x

Combine like terms: -14x + -42x = -56x
6 + -56x = -189 + 42x + -42x

Combine like terms: 42x + -42x = 0
6 + -56x = -189 + 0
6 + -56x = -189

Add '-6' to each side of the equation.
6 + -6 + -56x = -189 + -6

Combine like terms: 6 + -6 = 0
0 + -56x = -189 + -6
-56x = -189 + -6

Combine like terms: -189 + -6 = -195
-56x = -195

Divide each side by '-56'.
x = 3.482142857

Simplifying
x = 3.482142857