7(3x+0.5)-6(4x-0.3333)-5(5x+0.25)+2.75=0

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Solution for 7(3x+0.5)-6(4x-0.3333)-5(5x+0.25)+2.75=0 equation: 


Simplifying
7(3x + 0.5) + -6(4x + -0.3333) + -5(5x + 0.25) + 2.75 = 0

Reorder the terms:
7(0.5 + 3x) + -6(4x + -0.3333) + -5(5x + 0.25) + 2.75 = 0
(0.5 * 7 + 3x * 7) + -6(4x + -0.3333) + -5(5x + 0.25) + 2.75 = 0
(3.5 + 21x) + -6(4x + -0.3333) + -5(5x + 0.25) + 2.75 = 0

Reorder the terms:
3.5 + 21x + -6(-0.3333 + 4x) + -5(5x + 0.25) + 2.75 = 0
3.5 + 21x + (-0.3333 * -6 + 4x * -6) + -5(5x + 0.25) + 2.75 = 0
3.5 + 21x + (1.9998 + -24x) + -5(5x + 0.25) + 2.75 = 0

Reorder the terms:
3.5 + 21x + 1.9998 + -24x + -5(0.25 + 5x) + 2.75 = 0
3.5 + 21x + 1.9998 + -24x + (0.25 * -5 + 5x * -5) + 2.75 = 0
3.5 + 21x + 1.9998 + -24x + (-1.25 + -25x) + 2.75 = 0

Reorder the terms:
3.5 + 1.9998 + -1.25 + 2.75 + 21x + -24x + -25x = 0

Combine like terms: 3.5 + 1.9998 = 5.4998
5.4998 + -1.25 + 2.75 + 21x + -24x + -25x = 0

Combine like terms: 5.4998 + -1.25 = 4.2498
4.2498 + 2.75 + 21x + -24x + -25x = 0

Combine like terms: 4.2498 + 2.75 = 6.9998
6.9998 + 21x + -24x + -25x = 0

Combine like terms: 21x + -24x = -3x
6.9998 + -3x + -25x = 0

Combine like terms: -3x + -25x = -28x
6.9998 + -28x = 0

Solving
6.9998 + -28x = 0

Solving for variable 'x'.

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

Add '-6.9998' to each side of the equation.
6.9998 + -6.9998 + -28x = 0 + -6.9998

Combine like terms: 6.9998 + -6.9998 = 0.0000
0.0000 + -28x = 0 + -6.9998
-28x = 0 + -6.9998

Combine like terms: 0 + -6.9998 = -6.9998
-28x = -6.9998

Divide each side by '-28'.
x = 0.2499928571

Simplifying
x = 0.2499928571

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