2(x+3)=4+10(x+7)

Solution for 2(x+3)=4+10(x+7) equation:

Simplifying
2(x + 3) = 4 + 10(x + 7)

Reorder the terms:
2(3 + x) = 4 + 10(x + 7)
(3 * 2 + x * 2) = 4 + 10(x + 7)
(6 + 2x) = 4 + 10(x + 7)

Reorder the terms:
6 + 2x = 4 + 10(7 + x)
6 + 2x = 4 + (7 * 10 + x * 10)
6 + 2x = 4 + (70 + 10x)

Combine like terms: 4 + 70 = 74
6 + 2x = 74 + 10x

Solving
6 + 2x = 74 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 2x + -10x = 74 + 10x + -10x

Combine like terms: 2x + -10x = -8x
6 + -8x = 74 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -8x = 74 + 0
6 + -8x = 74

Add '-6' to each side of the equation.
6 + -6 + -8x = 74 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 74 + -6
-8x = 74 + -6

Combine like terms: 74 + -6 = 68
-8x = 68

Divide each side by '-8'.
x = -8.5

Simplifying
x = -8.5