.3(x+7)-.5(x+1)=-6

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Solution for .3(x+7)-.5(x+1)=-6 equation:


Simplifying
0.3(x + 7) + -0.5(x + 1) = -6

Reorder the terms:
0.3(7 + x) + -0.5(x + 1) = -6
(7 * 0.3 + x * 0.3) + -0.5(x + 1) = -6
(2.1 + 0.3x) + -0.5(x + 1) = -6

Reorder the terms:
2.1 + 0.3x + -0.5(1 + x) = -6
2.1 + 0.3x + (1 * -0.5 + x * -0.5) = -6
2.1 + 0.3x + (-0.5 + -0.5x) = -6

Reorder the terms:
2.1 + -0.5 + 0.3x + -0.5x = -6

Combine like terms: 2.1 + -0.5 = 1.6
1.6 + 0.3x + -0.5x = -6

Combine like terms: 0.3x + -0.5x = -0.2x
1.6 + -0.2x = -6

Solving
1.6 + -0.2x = -6

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.2x = -6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.2x = -6 + -1.6
-0.2x = -6 + -1.6

Combine like terms: -6 + -1.6 = -7.6
-0.2x = -7.6

Divide each side by '-0.2'.
x = 38

Simplifying
x = 38

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