0.6(3x+7)=1.3-(x-3)

Solution for 0.6(3x+7)=1.3-(x-3) equation:

Simplifying
0.6(3x + 7) = 1.3 + -1(x + -3)

Reorder the terms:
0.6(7 + 3x) = 1.3 + -1(x + -3)
(7 * 0.6 + 3x * 0.6) = 1.3 + -1(x + -3)
(4.2 + 1.8x) = 1.3 + -1(x + -3)

Reorder the terms:
4.2 + 1.8x = 1.3 + -1(-3 + x)
4.2 + 1.8x = 1.3 + (-3 * -1 + x * -1)
4.2 + 1.8x = 1.3 + (3 + -1x)

Combine like terms: 1.3 + 3 = 4.3
4.2 + 1.8x = 4.3 + -1x

Solving
4.2 + 1.8x = 4.3 + -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.
4.2 + 1.8x + x = 4.3 + -1x + x

Combine like terms: 1.8x + x = 2.8x
4.2 + 2.8x = 4.3 + -1x + x

Combine like terms: -1x + x = 0
4.2 + 2.8x = 4.3 + 0
4.2 + 2.8x = 4.3

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 2.8x = 4.3 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 2.8x = 4.3 + -4.2
2.8x = 4.3 + -4.2

Combine like terms: 4.3 + -4.2 = 0.1
2.8x = 0.1

Divide each side by '2.8'.
x = 0.03571428571

Simplifying
x = 0.03571428571