3(5x-2)=2(7x-1)+21

Solution for 3(5x-2)=2(7x-1)+21 equation:

Simplifying
3(5x + -2) = 2(7x + -1) + 21

Reorder the terms:
3(-2 + 5x) = 2(7x + -1) + 21
(-2 * 3 + 5x * 3) = 2(7x + -1) + 21
(-6 + 15x) = 2(7x + -1) + 21

Reorder the terms:
-6 + 15x = 2(-1 + 7x) + 21
-6 + 15x = (-1 * 2 + 7x * 2) + 21
-6 + 15x = (-2 + 14x) + 21

Reorder the terms:
-6 + 15x = -2 + 21 + 14x

Combine like terms: -2 + 21 = 19
-6 + 15x = 19 + 14x

Solving
-6 + 15x = 19 + 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 + 15x + -14x = 19 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-6 + 1x = 19 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + 1x = 19 + 0
-6 + 1x = 19

Add '6' to each side of the equation.
-6 + 6 + 1x = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 19 + 6
1x = 19 + 6

Combine like terms: 19 + 6 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25