(5x-3)*2+(2x+1)*2=34

Solution for (5x-3)*2+(2x+1)*2=34 equation:

Simplifying
(5x + -3) * 2 + (2x + 1) * 2 = 34

Reorder the terms:
(-3 + 5x) * 2 + (2x + 1) * 2 = 34

Reorder the terms for easier multiplication:
2(-3 + 5x) + (2x + 1) * 2 = 34
(-3 * 2 + 5x * 2) + (2x + 1) * 2 = 34
(-6 + 10x) + (2x + 1) * 2 = 34

Reorder the terms:
-6 + 10x + (1 + 2x) * 2 = 34

Reorder the terms for easier multiplication:
-6 + 10x + 2(1 + 2x) = 34
-6 + 10x + (1 * 2 + 2x * 2) = 34
-6 + 10x + (2 + 4x) = 34

Reorder the terms:
-6 + 2 + 10x + 4x = 34

Combine like terms: -6 + 2 = -4
-4 + 10x + 4x = 34

Combine like terms: 10x + 4x = 14x
-4 + 14x = 34

Solving
-4 + 14x = 34

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 14x = 34 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 34 + 4
14x = 34 + 4

Combine like terms: 34 + 4 = 38
14x = 38

Divide each side by '14'.
x = 2.714285714

Simplifying
x = 2.714285714