.6(4x+6)=.7-(x-3)

Solution for .6(4x+6)=.7-(x-3) equation:

Simplifying
0.6(4x + 6) = 0.7 + -1(x + -3)

Reorder the terms:
0.6(6 + 4x) = 0.7 + -1(x + -3)
(6 * 0.6 + 4x * 0.6) = 0.7 + -1(x + -3)
(3.6 + 2.4x) = 0.7 + -1(x + -3)

Reorder the terms:
3.6 + 2.4x = 0.7 + -1(-3 + x)
3.6 + 2.4x = 0.7 + (-3 * -1 + x * -1)
3.6 + 2.4x = 0.7 + (3 + -1x)

Combine like terms: 0.7 + 3 = 3.7
3.6 + 2.4x = 3.7 + -1x

Solving
3.6 + 2.4x = 3.7 + -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.
3.6 + 2.4x + x = 3.7 + -1x + x

Combine like terms: 2.4x + x = 3.4x
3.6 + 3.4x = 3.7 + -1x + x

Combine like terms: -1x + x = 0
3.6 + 3.4x = 3.7 + 0
3.6 + 3.4x = 3.7

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 3.4x = 3.7 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 3.4x = 3.7 + -3.6
3.4x = 3.7 + -3.6

Combine like terms: 3.7 + -3.6 = 0.1
3.4x = 0.1

Divide each side by '3.4'.
x = 0.02941176471

Simplifying
x = 0.02941176471