.25(3x+5)-.2(x-7)=7

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Solution for .25(3x+5)-.2(x-7)=7 equation: 


Simplifying
0.25(3x + 5) + -0.2(x + -7) = 7

Reorder the terms:
0.25(5 + 3x) + -0.2(x + -7) = 7
(5 * 0.25 + 3x * 0.25) + -0.2(x + -7) = 7
(1.25 + 0.75x) + -0.2(x + -7) = 7

Reorder the terms:
1.25 + 0.75x + -0.2(-7 + x) = 7
1.25 + 0.75x + (-7 * -0.2 + x * -0.2) = 7
1.25 + 0.75x + (1.4 + -0.2x) = 7

Reorder the terms:
1.25 + 1.4 + 0.75x + -0.2x = 7

Combine like terms: 1.25 + 1.4 = 2.65
2.65 + 0.75x + -0.2x = 7

Combine like terms: 0.75x + -0.2x = 0.55x
2.65 + 0.55x = 7

Solving
2.65 + 0.55x = 7

Solving for variable 'x'.

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

Add '-2.65' to each side of the equation.
2.65 + -2.65 + 0.55x = 7 + -2.65

Combine like terms: 2.65 + -2.65 = 0.00
0.00 + 0.55x = 7 + -2.65
0.55x = 7 + -2.65

Combine like terms: 7 + -2.65 = 4.35
0.55x = 4.35

Divide each side by '0.55'.
x = 7.909090909

Simplifying
x = 7.909090909

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