0.75(x-16)=-3(x-3)+4

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Solution for 0.75(x-16)=-3(x-3)+4 equation: 


Simplifying
0.75(x + -16) = -3(x + -3) + 4

Reorder the terms:
0.75(-16 + x) = -3(x + -3) + 4
(-16 * 0.75 + x * 0.75) = -3(x + -3) + 4
(-12 + 0.75x) = -3(x + -3) + 4

Reorder the terms:
-12 + 0.75x = -3(-3 + x) + 4
-12 + 0.75x = (-3 * -3 + x * -3) + 4
-12 + 0.75x = (9 + -3x) + 4

Reorder the terms:
-12 + 0.75x = 9 + 4 + -3x

Combine like terms: 9 + 4 = 13
-12 + 0.75x = 13 + -3x

Solving
-12 + 0.75x = 13 + -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.
-12 + 0.75x + 3x = 13 + -3x + 3x

Combine like terms: 0.75x + 3x = 3.75x
-12 + 3.75x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 3.75x = 13 + 0
-12 + 3.75x = 13

Add '12' to each side of the equation.
-12 + 12 + 3.75x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 3.75x = 13 + 12
3.75x = 13 + 12

Combine like terms: 13 + 12 = 25
3.75x = 25

Divide each side by '3.75'.
x = 6.666666667

Simplifying
x = 6.666666667

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