.7(14-7)-2=-2(.5x+3)+6

Solution for .7(14-7)-2=-2(.5x+3)+6 equation:

Simplifying
0.7(14 + -7) + -2 = -2(0.5x + 3) + 6

Combine like terms: 14 + -7 = 7
0.7(7) + -2 = -2(0.5x + 3) + 6

Multiply 0.7 * 7
4.9 + -2 = -2(0.5x + 3) + 6

Combine like terms: 4.9 + -2 = 2.9
2.9 = -2(0.5x + 3) + 6

Reorder the terms:
2.9 = -2(3 + 0.5x) + 6
2.9 = (3 * -2 + 0.5x * -2) + 6
2.9 = (-6 + -1x) + 6

Reorder the terms:
2.9 = -6 + 6 + -1x

Combine like terms: -6 + 6 = 0
2.9 = 0 + -1x
2.9 = -1x

Solving
2.9 = -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.
2.9 + x = -1x + x

Combine like terms: -1x + x = 0
2.9 + x = 0

Add '-2.9' to each side of the equation.
2.9 + -2.9 + x = 0 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + x = 0 + -2.9
x = 0 + -2.9

Combine like terms: 0 + -2.9 = -2.9
x = -2.9

Simplifying
x = -2.9