.25(3x+5)-.20(x+7)=7

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Solution for .25(3x+5)-.20(x+7)=7 equation: 


Simplifying
0.25(3x + 5) + -0.20(x + 7) = 7

Reorder the terms:
0.25(5 + 3x) + -0.20(x + 7) = 7
(5 * 0.25 + 3x * 0.25) + -0.20(x + 7) = 7
(1.25 + 0.75x) + -0.20(x + 7) = 7

Reorder the terms:
1.25 + 0.75x + -0.20(7 + x) = 7
1.25 + 0.75x + (7 * -0.20 + x * -0.20) = 7
1.25 + 0.75x + (-1.4 + -0.20x) = 7

Reorder the terms:
1.25 + -1.4 + 0.75x + -0.20x = 7

Combine like terms: 1.25 + -1.4 = -0.15
-0.15 + 0.75x + -0.20x = 7

Combine like terms: 0.75x + -0.20x = 0.55x
-0.15 + 0.55x = 7

Solving
-0.15 + 0.55x = 7

Solving for variable 'x'.

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

Add '0.15' to each side of the equation.
-0.15 + 0.15 + 0.55x = 7 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + 0.55x = 7 + 0.15
0.55x = 7 + 0.15

Combine like terms: 7 + 0.15 = 7.15
0.55x = 7.15

Divide each side by '0.55'.
x = 13

Simplifying
x = 13

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