2(x-3)+2(3x+4)=10

Solution for 2(x-3)+2(3x+4)=10 equation:

Simplifying
2(x + -3) + 2(3x + 4) = 10

Reorder the terms:
2(-3 + x) + 2(3x + 4) = 10
(-3 * 2 + x * 2) + 2(3x + 4) = 10
(-6 + 2x) + 2(3x + 4) = 10

Reorder the terms:
-6 + 2x + 2(4 + 3x) = 10
-6 + 2x + (4 * 2 + 3x * 2) = 10
-6 + 2x + (8 + 6x) = 10

Reorder the terms:
-6 + 8 + 2x + 6x = 10

Combine like terms: -6 + 8 = 2
2 + 2x + 6x = 10

Combine like terms: 2x + 6x = 8x
2 + 8x = 10

Solving
2 + 8x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 10 + -2
8x = 10 + -2

Combine like terms: 10 + -2 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1