x-3(x+.75)=2x+3

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Solution for x-3(x+.75)=2x+3 equation: 


Simplifying
x + -3(x + 0.75) = 2x + 3

Reorder the terms:
x + -3(0.75 + x) = 2x + 3
x + (0.75 * -3 + x * -3) = 2x + 3
x + (-2.25 + -3x) = 2x + 3

Reorder the terms:
-2.25 + x + -3x = 2x + 3

Combine like terms: x + -3x = -2x
-2.25 + -2x = 2x + 3

Reorder the terms:
-2.25 + -2x = 3 + 2x

Solving
-2.25 + -2x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.25 + -2x + -2x = 3 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-2.25 + -4x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.25 + -4x = 3 + 0
-2.25 + -4x = 3

Add '2.25' to each side of the equation.
-2.25 + 2.25 + -4x = 3 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + -4x = 3 + 2.25
-4x = 3 + 2.25

Combine like terms: 3 + 2.25 = 5.25
-4x = 5.25

Divide each side by '-4'.
x = -1.3125

Simplifying
x = -1.3125

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