14-(x+4.75)=3(x+9)-10

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Solution for 14-(x+4.75)=3(x+9)-10 equation: 


Simplifying
14 + -1(x + 4.75) = 3(x + 9) + -10

Reorder the terms:
14 + -1(4.75 + x) = 3(x + 9) + -10
14 + (4.75 * -1 + x * -1) = 3(x + 9) + -10
14 + (-4.75 + -1x) = 3(x + 9) + -10

Combine like terms: 14 + -4.75 = 9.25
9.25 + -1x = 3(x + 9) + -10

Reorder the terms:
9.25 + -1x = 3(9 + x) + -10
9.25 + -1x = (9 * 3 + x * 3) + -10
9.25 + -1x = (27 + 3x) + -10

Reorder the terms:
9.25 + -1x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
9.25 + -1x = 17 + 3x

Solving
9.25 + -1x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9.25 + -1x + -3x = 17 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9.25 + -4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
9.25 + -4x = 17 + 0
9.25 + -4x = 17

Add '-9.25' to each side of the equation.
9.25 + -9.25 + -4x = 17 + -9.25

Combine like terms: 9.25 + -9.25 = 0.00
0.00 + -4x = 17 + -9.25
-4x = 17 + -9.25

Combine like terms: 17 + -9.25 = 7.75
-4x = 7.75

Divide each side by '-4'.
x = -1.9375

Simplifying
x = -1.9375

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