0.1(x+35)=-2(3-x)

Solution for 0.1(x+35)=-2(3-x) equation:

Simplifying
0.1(x + 35) = -2(3 + -1x)

Reorder the terms:
0.1(35 + x) = -2(3 + -1x)
(35 * 0.1 + x * 0.1) = -2(3 + -1x)
(3.5 + 0.1x) = -2(3 + -1x)
3.5 + 0.1x = (3 * -2 + -1x * -2)
3.5 + 0.1x = (-6 + 2x)

Solving
3.5 + 0.1x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3.5 + 0.1x + -2x = -6 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
3.5 + -1.9x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3.5 + -1.9x = -6 + 0
3.5 + -1.9x = -6

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -1.9x = -6 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.9x = -6 + -3.5
-1.9x = -6 + -3.5

Combine like terms: -6 + -3.5 = -9.5
-1.9x = -9.5

Divide each side by '-1.9'.
x = 5

Simplifying
x = 5