2(5x-3)=x+1

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

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

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

Reorder the terms:
-6 + 10x = 1 + x

Solving
-6 + 10x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 10x + -1x = 1 + x + -1x

Combine like terms: 10x + -1x = 9x
-6 + 9x = 1 + x + -1x

Combine like terms: x + -1x = 0
-6 + 9x = 1 + 0
-6 + 9x = 1

Add '6' to each side of the equation.
-6 + 6 + 9x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 1 + 6
9x = 1 + 6

Combine like terms: 1 + 6 = 7
9x = 7

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778