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

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


Simplifying
0.3(5x + 6) + -0.5(x + 7) = 2

Reorder the terms:
0.3(6 + 5x) + -0.5(x + 7) = 2
(6 * 0.3 + 5x * 0.3) + -0.5(x + 7) = 2
(1.8 + 1.5x) + -0.5(x + 7) = 2

Reorder the terms:
1.8 + 1.5x + -0.5(7 + x) = 2
1.8 + 1.5x + (7 * -0.5 + x * -0.5) = 2
1.8 + 1.5x + (-3.5 + -0.5x) = 2

Reorder the terms:
1.8 + -3.5 + 1.5x + -0.5x = 2

Combine like terms: 1.8 + -3.5 = -1.7
-1.7 + 1.5x + -0.5x = 2

Combine like terms: 1.5x + -0.5x = 1x
-1.7 + 1x = 2

Solving
-1.7 + 1x = 2

Solving for variable 'x'.

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

Add '1.7' to each side of the equation.
-1.7 + 1.7 + 1x = 2 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + 1x = 2 + 1.7
1x = 2 + 1.7

Combine like terms: 2 + 1.7 = 3.7
1x = 3.7

Divide each side by '1'.
x = 3.7

Simplifying
x = 3.7

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