0.5(3x+7)=0.6-(x-3)

Solution for 0.5(3x+7)=0.6-(x-3) equation:

Simplifying
0.5(3x + 7) = 0.6 + -1(x + -3)

Reorder the terms:
0.5(7 + 3x) = 0.6 + -1(x + -3)
(7 * 0.5 + 3x * 0.5) = 0.6 + -1(x + -3)
(3.5 + 1.5x) = 0.6 + -1(x + -3)

Reorder the terms:
3.5 + 1.5x = 0.6 + -1(-3 + x)
3.5 + 1.5x = 0.6 + (-3 * -1 + x * -1)
3.5 + 1.5x = 0.6 + (3 + -1x)

Combine like terms: 0.6 + 3 = 3.6
3.5 + 1.5x = 3.6 + -1x

Solving
3.5 + 1.5x = 3.6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3.5 + 1.5x + x = 3.6 + -1x + x

Combine like terms: 1.5x + x = 2.5x
3.5 + 2.5x = 3.6 + -1x + x

Combine like terms: -1x + x = 0
3.5 + 2.5x = 3.6 + 0
3.5 + 2.5x = 3.6

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 2.5x = 3.6 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 2.5x = 3.6 + -3.5
2.5x = 3.6 + -3.5

Combine like terms: 3.6 + -3.5 = 0.1
2.5x = 0.1

Divide each side by '2.5'.
x = 0.04

Simplifying
x = 0.04