2(x+3)+2(x-1)=3(x+10)

Solution for 2(x+3)+2(x-1)=3(x+10) equation:

Simplifying
2(x + 3) + 2(x + -1) = 3(x + 10)

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

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

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

Combine like terms: 6 + -2 = 4
4 + 2x + 2x = 3(x + 10)

Combine like terms: 2x + 2x = 4x
4 + 4x = 3(x + 10)

Reorder the terms:
4 + 4x = 3(10 + x)
4 + 4x = (10 * 3 + x * 3)
4 + 4x = (30 + 3x)

Solving
4 + 4x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 4x + -3x = 30 + 3x + -3x

Combine like terms: 4x + -3x = 1x
4 + 1x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 1x = 30 + 0
4 + 1x = 30

Add '-4' to each side of the equation.
4 + -4 + 1x = 30 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 30 + -4
1x = 30 + -4

Combine like terms: 30 + -4 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26