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

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

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

Reorder the terms:
2(x + 3(-1 + x)) = 7x + -1
2(x + (-1 * 3 + x * 3)) = 7x + -1
2(x + (-3 + 3x)) = 7x + -1

Reorder the terms:
2(-3 + x + 3x) = 7x + -1

Combine like terms: x + 3x = 4x
2(-3 + 4x) = 7x + -1
(-3 * 2 + 4x * 2) = 7x + -1
(-6 + 8x) = 7x + -1

Reorder the terms:
-6 + 8x = -1 + 7x

Solving
-6 + 8x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 8x + -7x = -1 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-6 + 1x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 1x = -1 + 0
-6 + 1x = -1

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

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

Combine like terms: -1 + 6 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5