2(3-x)=10-7(x+1)

Solution for 2(3-x)=10-7(x+1) equation:

Simplifying
2(3 + -1x) = 10 + -7(x + 1)
(3 * 2 + -1x * 2) = 10 + -7(x + 1)
(6 + -2x) = 10 + -7(x + 1)

Reorder the terms:
6 + -2x = 10 + -7(1 + x)
6 + -2x = 10 + (1 * -7 + x * -7)
6 + -2x = 10 + (-7 + -7x)

Combine like terms: 10 + -7 = 3
6 + -2x = 3 + -7x

Solving
6 + -2x = 3 + -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 + -2x + 7x = 3 + -7x + 7x

Combine like terms: -2x + 7x = 5x
6 + 5x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 5x = 3 + 0
6 + 5x = 3

Add '-6' to each side of the equation.
6 + -6 + 5x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 3 + -6
5x = 3 + -6

Combine like terms: 3 + -6 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6